Pith Number

pith:HECYXOEZ

pith:2009:HECYXOEZCNU7WIJANWFSNCEUI3

not attested not anchored not stored refs pending

Do bosons obey Bose-Einstein distribution: two iterated limits of Gentile distribution

Mi Xie, Wu-Sheng Dai

arxiv:0906.3777 v1 · 2009-06-20 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HECYXOEZCNU7WIJANWFSNCEUI3}

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	2026-05-18T02:13:13.602245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39058bb8991369fb21206d8b26889446dbd5452bfc81de723351c8592ac85eab

Aliases

arxiv: 0906.3777 · arxiv_version: 0906.3777v1 · doi: 10.48550/arxiv.0906.3777 · pith_short_12: HECYXOEZCNU7 · pith_short_16: HECYXOEZCNU7WIJA · pith_short_8: HECYXOEZ

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/HECYXOEZCNU7WIJANWFSNCEUI3 \
  | 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: 39058bb8991369fb21206d8b26889446dbd5452bfc81de723351c8592ac85eab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "616ef87a43990115ccf35904c49c1a0782decfa597a3b4ac9febcada5767d961",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-06-20T04:06:09Z",
    "title_canon_sha256": "6e4815539e4065ad73b10c43c728c869778e84eee6d53193039ddd13660152dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3777",
    "kind": "arxiv",
    "version": 1
  }
}