Pith Number

pith:46YSPUE5

pith:2020:46YSPUE54ODYHVWQ3O5VAHRZC2

not attested not anchored not stored refs pending

Training End-to-End Analog Neural Networks with Equilibrium Propagation

Benjamin Scellier, Jack Kendall, Kalpana Manickavasagam, Ross Pantone, Yoshua Bengio

arxiv:2006.01981 v2 · 2020-06-02 · cs.NE · cs.LG

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\usepackage{pith}
\pithnumber{46YSPUE54ODYHVWQ3O5VAHRZC2}

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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

8 papers in Pith

Optical Implementation of Equilibrium Propagation Using Spatial Photonic Ising Machines

Optimizing Energy-based Neural Network Training with Coherent Ising Machine

Training a Predictive Coding Network on ImageNet using Equilibrium Propagation

Hardware-Software Co-Design of Scalable, Energy-Efficient Analog Recurrent Computations

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

Receipt and verification

First computed	2026-07-05T01:09:07.328522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7b127d09de38783d6d0dbbb501e3916b13fc5aaa637611a6eb92ffa542de24d

Aliases

arxiv: 2006.01981 · arxiv_version: 2006.01981v2 · doi: 10.48550/arxiv.2006.01981 · pith_short_12: 46YSPUE54ODY · pith_short_16: 46YSPUE54ODYHVWQ · pith_short_8: 46YSPUE5

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/46YSPUE54ODYHVWQ3O5VAHRZC2 \
  | 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: e7b127d09de38783d6d0dbbb501e3916b13fc5aaa637611a6eb92ffa542de24d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dca04c938fdd665a2fa7a5f4826a9df346508d3cd97656721a232c87baddaa2f",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NE",
    "submitted_at": "2020-06-02T23:38:35Z",
    "title_canon_sha256": "c529b59d90b4dbcc276efe2f316d5261ae5801cc65af8aa25b5e08a9792f999e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.01981",
    "kind": "arxiv",
    "version": 2
  }
}