Pith Number

pith:CFBJWD6Q

pith:2008:CFBJWD6QACAEA2ZUGIRFRPXXLF

not attested not anchored not stored refs pending

Thermodynamic instability and first-order phase transition in an ideal Bose gas

Jeong-Hyuck Park, Sang-Woo Kim

arxiv:0809.4652 v6 · 2008-09-26 · cond-mat.stat-mech · cond-mat.other · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CFBJWD6QACAEA2ZUGIRFRPXXLF}

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	2026-05-18T04:13:47.336661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11429b0fd00080406b34322258bef75979e14a166086614f3afafd275c703f24

Aliases

arxiv: 0809.4652 · arxiv_version: 0809.4652v6 · doi: 10.48550/arxiv.0809.4652 · pith_short_12: CFBJWD6QACAE · pith_short_16: CFBJWD6QACAEA2ZU · pith_short_8: CFBJWD6Q

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/CFBJWD6QACAEA2ZUGIRFRPXXLF \
  | 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: 11429b0fd00080406b34322258bef75979e14a166086614f3afafd275c703f24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a788a22ad0646b62db55f99306ba357aba19b0a415dd0f4b367aad43115117f4",
    "cross_cats_sorted": [
      "cond-mat.other",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2008-09-26T15:05:26Z",
    "title_canon_sha256": "a8ac253fd4b502d3fae156a47de63e8ab8e90d09e85a08760bf5e02609cd84c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.4652",
    "kind": "arxiv",
    "version": 6
  }
}