Pith Number

pith:QQ6JTTXR

pith:2024:QQ6JTTXRHDMGGH5XVMEYJBEKKD

not attested not anchored not stored refs pending

Phase space path integral approach to the kinetics of black hole phase transition

Conghua Liu, Jin Wang, Ran Li

arxiv:2401.02260 v4 · 2024-01-04 · gr-qc · cond-mat.stat-mech · 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{QQ6JTTXRHDMGGH5XVMEYJBEKKD}

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.

Cited by

1 paper in Pith

Probabilistic Evolution of Black Hole Thermodynamic States via Fokker-Planck Equation

Receipt and verification

First computed	2026-07-05T08:16:24.586804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

843c99cef138d8631fb7ab0984848a50de6412050f31a7ca14053fc94b833b8c

Aliases

arxiv: 2401.02260 · arxiv_version: 2401.02260v4 · doi: 10.48550/arxiv.2401.02260 · pith_short_12: QQ6JTTXRHDMG · pith_short_16: QQ6JTTXRHDMGGH5X · pith_short_8: QQ6JTTXR

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/QQ6JTTXRHDMGGH5XVMEYJBEKKD \
  | 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: 843c99cef138d8631fb7ab0984848a50de6412050f31a7ca14053fc94b833b8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82d20c0a12ca39dc2ebf3f80e5bddd9c08bf24c1a7ed2c2d2d7605ac7603fd18",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-01-04T13:27:13Z",
    "title_canon_sha256": "d001433db20e6f1a99eadd74203249bfbaf47bfa4911c280f81f9630cc59e435"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.02260",
    "kind": "arxiv",
    "version": 4
  }
}