Pith Number

pith:QUX6IRGE

pith:2015:QUX6IRGE236L3M7WAHP37TSLZS

not attested not anchored not stored refs pending

From Bosonic Grand-Canonical Ensembles to Nonlinear Gibbs Measures

Nicolas Rougerie (LPMMC)

arxiv:1507.01440 v1 · 2015-07-06 · math-ph · math.AP · math.FA · 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{QUX6IRGE236L3M7WAHP37TSLZS}

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	2026-05-18T01:36:49.496950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

852fe444c4d6fcbdb3f601dfbfce4bcc9d70aeac904e7f006e53ec0087449e81

Aliases

arxiv: 1507.01440 · arxiv_version: 1507.01440v1 · doi: 10.48550/arxiv.1507.01440 · pith_short_12: QUX6IRGE236L · pith_short_16: QUX6IRGE236L3M7W · pith_short_8: QUX6IRGE

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/QUX6IRGE236L3M7WAHP37TSLZS \
  | 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: 852fe444c4d6fcbdb3f601dfbfce4bcc9d70aeac904e7f006e53ec0087449e81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d36510c53f6679ffcf4c1b85cfc21adb7ef5a603f49bc4554c25f27ded274a6",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-07-06T13:24:51Z",
    "title_canon_sha256": "bde58bd30186cb06cbc337c20c2f9547bc41f60ed35566a5a8efb82eb960fff4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01440",
    "kind": "arxiv",
    "version": 1
  }
}