Pith Number

pith:JF4D7GJC

pith:2023:JF4D7GJCILMNLSLENZOR2SLFYH

not attested not anchored not stored refs pending

Emergence of near-TAP free energy functional in the SK model at high temperature

V\'eronique Gayrard

arxiv:2306.02402 v1 · 2023-06-04 · 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{JF4D7GJCILMNLSLENZOR2SLFYH}

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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

The Legendre structure of the TAP complexity for the Ising spin glass

Receipt and verification

First computed	2026-07-05T06:17:16.828126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49783f992242d8d5c9646e5d1d4965c1e7fdd3a8c7c1fab46ef6bb7c416cf553

Aliases

arxiv: 2306.02402 · arxiv_version: 2306.02402v1 · doi: 10.48550/arxiv.2306.02402 · pith_short_12: JF4D7GJCILMN · pith_short_16: JF4D7GJCILMNLSLE · pith_short_8: JF4D7GJC

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/JF4D7GJCILMNLSLENZOR2SLFYH \
  | 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: 49783f992242d8d5c9646e5d1d4965c1e7fdd3a8c7c1fab46ef6bb7c416cf553

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "625749cb33cb751737c804c8f82f09d262ce9981cb2edfbe7183cfc1651603c9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-06-04T16:33:27Z",
    "title_canon_sha256": "7fd392b352e3066a739a4eed82d6558030497e9acf89c2cdb47a95c1d894c525"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.02402",
    "kind": "arxiv",
    "version": 1
  }
}