Pith Number

pith:XVFMF2EL

pith:2025:XVFMF2ELKSOL7JRCZFODQXGSLY

not attested not anchored not stored refs pending

The Gibbs state of the mean-field Bose gas

Andreas Deuchert, Marcin Napi\'orkowski, Phan Th\`anh Nam

arxiv:2501.19396 v3 · 2025-01-31 · 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{XVFMF2ELKSOL7JRCZFODQXGSLY}

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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

Derivation of Gibbs measure from Gibbs state with the fractional Bessel interaction in Two Dimensions

Receipt and verification

First computed	2026-07-05T11:57:34.200365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd4ac2e88b549cbfa622c95c385cd25e2f15579b4a1f06ba6f4040e03179c8e3

Aliases

arxiv: 2501.19396 · arxiv_version: 2501.19396v3 · doi: 10.48550/arxiv.2501.19396 · pith_short_12: XVFMF2ELKSOL · pith_short_16: XVFMF2ELKSOL7JRC · pith_short_8: XVFMF2EL

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/XVFMF2ELKSOL7JRCZFODQXGSLY \
  | 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: bd4ac2e88b549cbfa622c95c385cd25e2f15579b4a1f06ba6f4040e03179c8e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef6c323a7445d049913e601c188785d0c2761b8879e02f542ca4559854fadc68",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-01-31T18:50:26Z",
    "title_canon_sha256": "133a7437ea625dd9ee04235c650cef1c05bb6394ffecb3d1700fb84a4ae0f641"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.19396",
    "kind": "arxiv",
    "version": 3
  }
}