Pith Number

pith:XMCVKJQ6

pith:2020:XMCVKJQ6HMZIAV7WNDILWGGWA4

not attested not anchored not stored refs pending

Equilibrium Propagation with Continual Weight Updates

Benjamin Scellier, Damien Querlioz, Julie Grollier, Maxence Ernoult, Yoshua Bengio

arxiv:2005.04168 v1 · 2020-04-29 · cs.NE · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XMCVKJQ6HMZIAV7WNDILWGGWA4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

3 papers in Pith

Optical Implementation of Equilibrium Propagation Using Spatial Photonic Ising Machines

Thermodynamic Networks: Harnessing Non-Equilibrium Steady States for Computation

Scalable Equilibrium Propagation via Intermediate Error Signals for Deep Convolutional CRNNs

Receipt and verification

First computed	2026-07-05T01:01:30.264810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb0555261e3b328057f668d0bb18d60710b7e929934ed9669426d82fbd7e4b0c

Aliases

arxiv: 2005.04168 · arxiv_version: 2005.04168v1 · doi: 10.48550/arxiv.2005.04168 · pith_short_12: XMCVKJQ6HMZI · pith_short_16: XMCVKJQ6HMZIAV7W · pith_short_8: XMCVKJQ6

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/XMCVKJQ6HMZIAV7WNDILWGGWA4 \
  | 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: bb0555261e3b328057f668d0bb18d60710b7e929934ed9669426d82fbd7e4b0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56cf13798498ad86c4f3e5cfb3d74243527152e9cb4dd2bf371666edcfe85896",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NE",
    "submitted_at": "2020-04-29T14:54:30Z",
    "title_canon_sha256": "911c178467397588e7ac2db14d7598b381b15d78f6d78b063659133c84d7819a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.04168",
    "kind": "arxiv",
    "version": 1
  }
}