pith. sign in
Pith Number

pith:MCQPN4QH

pith:2003:MCQPN4QH2BQEGEYTWQ3DMLWI2S
not attested not anchored not stored refs pending

Gentile statistics with a large maximum occupation number

Mi Xie, Wu-Sheng Dai

arxiv:cond-mat/0310066 v3 · 2003-10-03 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MCQPN4QH2BQEGEYTWQ3DMLWI2S}

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 2026-05-18T01:39:59.067761Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

60a0f6f207d060431313b436362ec8d4951421f01fa9e7ea18fc991d80a20a99

Aliases

arxiv: cond-mat/0310066 · arxiv_version: cond-mat/0310066v3 · doi: 10.48550/arxiv.cond-mat/0310066 · pith_short_12: MCQPN4QH2BQE · pith_short_16: MCQPN4QH2BQEGEYT · pith_short_8: MCQPN4QH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MCQPN4QH2BQEGEYTWQ3DMLWI2S \
  | 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: 60a0f6f207d060431313b436362ec8d4951421f01fa9e7ea18fc991d80a20a99
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6baf8f445ab7a069d42fe2b7aa8b72818e28c09317b88d7c2690ba3b486b3678",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2003-10-03T14:50:18Z",
    "title_canon_sha256": "d93bcaaccdeeeceebfed2cd6d2a3ae904006ac2a10fe136298c209acc129c18c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0310066",
    "kind": "arxiv",
    "version": 3
  }
}