Pith Number

pith:GRPH52RQ

pith:1999:GRPH52RQRF7O64XU42GSWULNCN

not attested not anchored not stored refs pending

Generalized Boltzmann equation for a trapped Bose-condensed gas using the Kadanoff-Baym formalism

Allan Griffin, Milena Imamovic-Tomasovic

arxiv:cond-mat/9911402 v1 · 1999-11-24 · cond-mat

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRPH52RQRF7O64XU42GSWULNCN}

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	2026-05-18T00:37:16.915354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

345e7eea30897eef72f4e68d2b516d1368981f60af040af7effb11eca3c16576

Aliases

arxiv: cond-mat/9911402 · arxiv_version: cond-mat/9911402v1 · doi: 10.48550/arxiv.cond-mat/9911402 · pith_short_12: GRPH52RQRF7O · pith_short_16: GRPH52RQRF7O64XU · pith_short_8: GRPH52RQ

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/GRPH52RQRF7O64XU42GSWULNCN \
  | 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: 345e7eea30897eef72f4e68d2b516d1368981f60af040af7effb11eca3c16576

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65416761f2f5dba9542b166e35b226b2e20b79de057603fd362a298ef2e70f35",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat",
    "submitted_at": "1999-11-24T20:35:46Z",
    "title_canon_sha256": "1072c2407520af4ea75b35a766add512ce6b1429dbf8b441deaa25b78471bdb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9911402",
    "kind": "arxiv",
    "version": 1
  }
}