Pith Number

pith:VY6E26F4

pith:2013:VY6E26F43EZY2IIPL3ZTRVFIW4

not attested not anchored not stored refs pending

Momentum distribution functions in ensembles: the inequivalence of microcannonical and canonical ensembles in a finite ultracold system

Gao Xianlong, Haibin Li, Pei Wang

arxiv:1303.4608 v2 · 2013-03-19 · cond-mat.stat-mech · cond-mat.quant-gas

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VY6E26F43EZY2IIPL3ZTRVFIW4}

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	2026-05-18T03:15:20.699712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae3c4d78bcd9338d210f5ef338d4a8b72c22743193cf3f2b1b91ca1855b907f3

Aliases

arxiv: 1303.4608 · arxiv_version: 1303.4608v2 · doi: 10.48550/arxiv.1303.4608 · pith_short_12: VY6E26F43EZY · pith_short_16: VY6E26F43EZY2IIP · pith_short_8: VY6E26F4

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/VY6E26F43EZY2IIPL3ZTRVFIW4 \
  | 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: ae3c4d78bcd9338d210f5ef338d4a8b72c22743193cf3f2b1b91ca1855b907f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a8b429351c73f6283fbd205a70243a89d6003de711d946850fe8374ceda5d5c",
    "cross_cats_sorted": [
      "cond-mat.quant-gas"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-03-19T14:16:50Z",
    "title_canon_sha256": "e2c321c85c20fd9e5bef940f1ef69aab7131193ca263d31cfbca10e2c069d16b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4608",
    "kind": "arxiv",
    "version": 2
  }
}