Audio sink missing from pulseaudio

Last night I was having the usual issue: Audio stops working after resuming from hibeate. The usual fix is to reboot the system, but I thought I'd tinker a little bit back and forth and see if I managed to fix it without a reboot. Unfortunately I can't for the life of me remember exactly what it was a did, tho. This had two effects:

1. It started working again without having to reboot
2. Upon next boot (today), audio does not work at all. Unsuprisingly, rebooting again does not help.

I only remember that I ran alsa force-reload as part of the troubleshooting.

After checking, it seems that my current problem is that the audio sink I used to have listed under pavucontrol is not there anymore. Ruing pacmd list-sinks only shows the displayport output, which I next to never use:

>>> 1 sink(s) available.
  * index: 0
    name: <alsa_output.pci-0000_00_1b.0.hdmi-stereo>
    driver: <module-alsa-card.c>
    flags: HARDWARE DECIBEL_VOLUME LATENCY DYNAMIC_LATENCY
    state: IDLE
    suspend cause: 
    priority: 9950
[SNIP]
    card: 0 <alsa_card.pci-0000_00_1b.0>
    module: 4
    properties:
[SNIP]
        device.bus_path = "pci-0000:00:1b.0"
        sysfs.path = "/devices/pci0000:00/0000:00:1b.0/sound/card0"
        device.bus = "pci"
        device.vendor.id = "8086"
        device.vendor.name = "Intel Corporation"
        device.product.id = "1c20"
        device.product.name = "6 Series/C200 Series Chipset Family High Definition Audio Controller"
        device.form_factor = "inteal"
        device.string = "hdmi:0"
        device.buffering.buffer_size = "65536"
        device.buffering.fragment_size = "32768"
        device.access_mode = "mmap+timer"
        device.profile.name = "hdmi-stereo"
        device.profile.description = "Digital Stereo (HDMI)"
        device.description = "Built-in Audio Digital Stereo (HDMI)"
[SNIP]

The main sink that I used to have is simply not there anymore. I can't remember the name of it, but it was something generic along the lines of builtin speakers/headphones.

output of lspci | grep -i audio

00:1b.0 Audio device: Intel Corporation 6 Series/C200 Series Chipset Family High Definition Audio Controller (rev 04)

Any assistance on how to find this missing audio sink would be much appreciated. If more info is needed, comment, and I'll append.