Pith Number

pith:RIUA4UII

pith:2009:RIUA4UIIPOMYHSMBLHI7IUH3HH

not attested not anchored not stored refs pending

An exactly solvable phase transition model: generalized statistics and generalized Bose-Einstein condensation

Mi Xie, Wu-Sheng Dai

arxiv:0908.4458 v1 · 2009-08-31 · 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{RIUA4UIIPOMYHSMBLHI7IUH3HH}

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	2026-05-18T02:12:12.797981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a280e51087b9983c98159d1f450fb39cea0b664354d060e970a713ee116e558

Aliases

arxiv: 0908.4458 · arxiv_version: 0908.4458v1 · doi: 10.48550/arxiv.0908.4458 · pith_short_12: RIUA4UIIPOMY · pith_short_16: RIUA4UIIPOMYHSMB · pith_short_8: RIUA4UII

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/RIUA4UIIPOMYHSMBLHI7IUH3HH \
  | 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: 8a280e51087b9983c98159d1f450fb39cea0b664354d060e970a713ee116e558

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d7b66f66f15684fd9abd5f226402d1faa5c0c47c0da07b5763cd2a4af2385ef",
    "cross_cats_sorted": [
      "cond-mat.quant-gas"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-08-31T05:23:02Z",
    "title_canon_sha256": "6e5791e5982e21b431b302fcd462fe711599931312a46024d4df220f908deb5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.4458",
    "kind": "arxiv",
    "version": 1
  }
}