Pith Number

pith:I5G6U62D

pith:2024:I5G6U62DRWQX3IN5UTCM3ZXA6Q

not attested not anchored not stored refs pending

Capacity of the Hebbian-Hopfield network associative memory

Mihailo Stojnic

arxiv:2403.01907 v1 · 2024-03-04 · stat.ML · cond-mat.dis-nn · cs.IT · cs.LG · math.IT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I5G6U62DRWQX3IN5UTCM3ZXA6Q}

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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

CLuP practically achieves $\sim 1.77$ positive and $\sim 0.33$ negative Hopfield model ground state free energy

Receipt and verification

First computed	2026-07-05T07:51:53.876506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

474dea7b438da17da1bda4c4cde6e0f4247ae90e7b9a81c83596b896cf134a70

Aliases

arxiv: 2403.01907 · arxiv_version: 2403.01907v1 · doi: 10.48550/arxiv.2403.01907 · pith_short_12: I5G6U62DRWQX · pith_short_16: I5G6U62DRWQX3IN5 · pith_short_8: I5G6U62D

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/I5G6U62DRWQX3IN5UTCM3ZXA6Q \
  | 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: 474dea7b438da17da1bda4c4cde6e0f4247ae90e7b9a81c83596b896cf134a70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da4e9da8ac527d212afd122837dc2312c0f01702d8d7030de219cbe8f77c4c57",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.IT",
      "cs.LG",
      "math.IT",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2024-03-04T10:10:23Z",
    "title_canon_sha256": "eb97b904c64881a669de7df40476abc0fdf01edf430ec02bac5f510a7f04b22b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.01907",
    "kind": "arxiv",
    "version": 1
  }
}