Pith Number

pith:TO5TCBHH

pith:2025:TO5TCBHHLSH6XWAJAJBT22XWH5

not attested not anchored not stored refs pending

Mixed memories in Hopfield networks

V\'eronique Gayrard

arxiv:2504.04879 v2 · 2025-04-07 · 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{TO5TCBHHLSH6XWAJAJBT22XWH5}

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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

A mathematical analysis of hierarchical Hopfield models

Receipt and verification

First computed	2026-06-08T01:03:43.911220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bbb3104e75c8febd80902433d6af63f63939e2240fc080970d1b5045ae29da0

Aliases

arxiv: 2504.04879 · arxiv_version: 2504.04879v2 · doi: 10.48550/arxiv.2504.04879 · pith_short_12: TO5TCBHHLSH6 · pith_short_16: TO5TCBHHLSH6XWAJ · pith_short_8: TO5TCBHH

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/TO5TCBHHLSH6XWAJAJBT22XWH5 \
  | 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: 9bbb3104e75c8febd80902433d6af63f63939e2240fc080970d1b5045ae29da0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7a0194486b78269714d0bee9b0618fcc24c59f73acfa1021b7d550828e41128",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-04-07T09:41:49Z",
    "title_canon_sha256": "3f3013330378d5de0319e490334077b85654d6fd0c4bf0521d4fbd6175868396"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.04879",
    "kind": "arxiv",
    "version": 2
  }
}