Pith Number

pith:IWA5DLED

pith:2012:IWA5DLEDGJPJ3IDLEZESE54FQR

not attested not anchored not stored refs pending

Quantum Hopfield Model

Brunello Tirozzi, Masha Shcherbina

arxiv:1201.5024 v1 · 2012-01-24 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IWA5DLEDGJPJ3IDLEZESE54FQR}

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.

Receipt and verification

First computed	2026-05-18T04:03:56.447348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4581d1ac83325e9da06b2649227785846d28bfea4e0ec4d579ea002e8a3d74bb

Aliases

arxiv: 1201.5024 · arxiv_version: 1201.5024v1 · doi: 10.48550/arxiv.1201.5024 · pith_short_12: IWA5DLEDGJPJ · pith_short_16: IWA5DLEDGJPJ3IDL · pith_short_8: IWA5DLED

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/IWA5DLEDGJPJ3IDLEZESE54FQR \
  | 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: 4581d1ac83325e9da06b2649227785846d28bfea4e0ec4d579ea002e8a3d74bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a4b30781a4d2f36579ea4ca1400797d9cf9552d5aaaf58bb6cc02010672f96d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-01-24T15:52:41Z",
    "title_canon_sha256": "5f569d905f66806ea56cb989118090488670be423e079bcb772f2dafbaf63733"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5024",
    "kind": "arxiv",
    "version": 1
  }
}