Pith Number

pith:TZUEJP5L

pith:2022:TZUEJP5LXKLSNMTUH7OJKMRQJM

not attested not anchored not stored refs pending

Backpropagation at the Infinitesimal Inference Limit of Energy-Based Models: Unifying Predictive Coding, Equilibrium Propagation, and Contrastive Hebbian Learning

Beren Millidge, Rafal Bogacz, Thomas Lukasiewicz, Tommaso Salvatori, Yuhang Song

arxiv:2206.02629 v3 · 2022-05-31 · cs.LG · cs.AI · q-bio.NC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZUEJP5LXKLSNMTUH7OJKMRQJM}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Equilibrium Propagation and Hamiltonian Inference in the Diffusive Fitzhugh-Nagumo Model

Receipt and verification

First computed	2026-07-05T04:46:00.153585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e6844bfabba9726b2743fdc9532304b3b5cae9ef9ca90adccd3a03752d0b245

Aliases

arxiv: 2206.02629 · arxiv_version: 2206.02629v3 · doi: 10.48550/arxiv.2206.02629 · pith_short_12: TZUEJP5LXKLS · pith_short_16: TZUEJP5LXKLSNMTU · pith_short_8: TZUEJP5L

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TZUEJP5LXKLSNMTUH7OJKMRQJM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9e6844bfabba9726b2743fdc9532304b3b5cae9ef9ca90adccd3a03752d0b245

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cc3a4d710a5440a96fadb82e5cc366c60a21c18f48fbd2f00299f7aadfeef57",
    "cross_cats_sorted": [
      "cs.AI",
      "q-bio.NC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-05-31T20:48:52Z",
    "title_canon_sha256": "d9ab62b6e2b898e336eb7d251c54bc6fb1badbce921fe519e6227b48fa9c2614"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.02629",
    "kind": "arxiv",
    "version": 3
  }
}