Pith Number

pith:GLSNYNBA

pith:2014:GLSNYNBA2OAB47MPMKTSGBWMTV

not attested not anchored not stored refs pending

Th\'eor\`emes de de Finetti, limites de champ moyen et condensation de Bose-Einstein

Nicolas Rougerie (LPMMC)

arxiv:1409.1182 v4 · 2014-09-03 · math-ph · cond-mat.quant-gas · cond-mat.stat-mech · math.AP · 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{GLSNYNBA2OAB47MPMKTSGBWMTV}

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	2026-05-18T02:27:07.735547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32e4dc3420d3801e7d8f62a72306cc9d6a4e50e999876c09ec9be37b144d81d2

Aliases

arxiv: 1409.1182 · arxiv_version: 1409.1182v4 · doi: 10.48550/arxiv.1409.1182 · pith_short_12: GLSNYNBA2OAB · pith_short_16: GLSNYNBA2OAB47MP · pith_short_8: GLSNYNBA

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/GLSNYNBA2OAB47MPMKTSGBWMTV \
  | 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: 32e4dc3420d3801e7d8f62a72306cc9d6a4e50e999876c09ec9be37b144d81d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a2d3fe8716a355aae6e6c8adf03b94f5b6b99fe86bdc41debcd67265cb73460",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "cond-mat.stat-mech",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-09-03T18:04:17Z",
    "title_canon_sha256": "b5f90b7f8cfff07d3acf5da12d577629a0b7e91cfbbef7fd301f9750b9bb374b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1182",
    "kind": "arxiv",
    "version": 4
  }
}