Pith Number

pith:6Q4EHHUH

pith:2004:6Q4EHHUHPCVQ4LPUICX5ZYXMQ7

not attested not anchored not stored refs pending

Quantum Kinetic Theory of BEC Lattice Gas:Boltzmann Equations from 2PI-CTP Effective Action

Ana Maria Rey, B. L. Hu, Charles W. Clark, Esteban Calzetta

arxiv:cond-mat/0412066 v2 · 2004-12-02 · cond-mat.other

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6Q4EHHUHPCVQ4LPUICX5ZYXMQ7}

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	2026-05-18T01:39:57.250456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f438439e8778ab0e2df440afdce2ec87f7ba612151bd6c28776dade8799f6031

Aliases

arxiv: cond-mat/0412066 · arxiv_version: cond-mat/0412066v2 · doi: 10.48550/arxiv.cond-mat/0412066 · pith_short_12: 6Q4EHHUHPCVQ · pith_short_16: 6Q4EHHUHPCVQ4LPU · pith_short_8: 6Q4EHHUH

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/6Q4EHHUHPCVQ4LPUICX5ZYXMQ7 \
  | 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: f438439e8778ab0e2df440afdce2ec87f7ba612151bd6c28776dade8799f6031

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c58b286859fbc4dee0eb28e4d619f2ef88e38c2a2867a898a47c2686d7654cf",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.other",
    "submitted_at": "2004-12-02T21:33:50Z",
    "title_canon_sha256": "f29e936ae011a37dea277984b660ac546ece6b162aaaab5564832761aec91cfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0412066",
    "kind": "arxiv",
    "version": 2
  }
}