Pith Number

pith:5CK37HK5

pith:2024:5CK37HK5P2FFT727NU4ZZLOJCV

not attested not anchored not stored refs pending

Fluctuation of free energy for the mean-field Ghatak-Sherrington Model

Yueqi Sheng

arxiv:2408.16133 v1 · 2024-08-28 · 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{5CK37HK5P2FFT727NU4ZZLOJCV}

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.

Cited by

1 paper in Pith

Guerra interpolation for inverse freezing

Receipt and verification

First computed	2026-07-05T09:00:26.365365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e895bf9d5d7e8a59ff5f6d399cadc9157a187deb80ab14c06c3a805ecd1e55a9

Aliases

arxiv: 2408.16133 · arxiv_version: 2408.16133v1 · doi: 10.48550/arxiv.2408.16133 · pith_short_12: 5CK37HK5P2FF · pith_short_16: 5CK37HK5P2FFT727 · pith_short_8: 5CK37HK5

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/5CK37HK5P2FFT727NU4ZZLOJCV \
  | 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: e895bf9d5d7e8a59ff5f6d399cadc9157a187deb80ab14c06c3a805ecd1e55a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da4813e7bd8cbe8f0c7f00533a2346f48f92f2933352c1ee207d021c9ca958cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-08-28T20:49:37Z",
    "title_canon_sha256": "42c14c857aa3b76e645691ba51418027512feb5152ac49f80b6e54f413e6f26d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.16133",
    "kind": "arxiv",
    "version": 1
  }
}