Pith Number

pith:MDIRITQG

pith:2023:MDIRITQGV3VPURZ33QCP2H4JQW

not attested not anchored not stored refs pending

Statistical mechanics of mean-field disordered systems: a Hamilton-Jacobi approach

Jean-Christophe Mourrat, Tomas Dominguez

arxiv:2311.08976 v2 · 2023-11-15 · math.PR · cond-mat.dis-nn

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MDIRITQGV3VPURZ33QCP2H4JQW}

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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

Landau free energy and the absence of spontaneous magnetization of the one-dimensional Ising model

Receipt and verification

First computed	2026-07-05T07:17:34.394478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60d1144e06aeeafa473bdc04fd1f8985a1a0e38815ca77e0999165c219aab976

Aliases

arxiv: 2311.08976 · arxiv_version: 2311.08976v2 · doi: 10.48550/arxiv.2311.08976 · pith_short_12: MDIRITQGV3VP · pith_short_16: MDIRITQGV3VPURZ3 · pith_short_8: MDIRITQG

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/MDIRITQGV3VPURZ33QCP2H4JQW \
  | 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: 60d1144e06aeeafa473bdc04fd1f8985a1a0e38815ca77e0999165c219aab976

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86c51fe0f9971fed3d442d67ee56c05e755dbc6cf07b308f3f2b93dfb065e967",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-11-15T14:10:46Z",
    "title_canon_sha256": "09546b8c6dfaa4a7fc77fa8260aefed31d0fc25dc6f6ab4267b4ee4cab9e151f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.08976",
    "kind": "arxiv",
    "version": 2
  }
}