Pith Number

pith:JQMWVIO6

pith:2023:JQMWVIO6JGPZVQYI4MHLE2CMGO

not attested not anchored not stored refs pending

Generalized free energy and dynamical state transition of the dyonic AdS black hole in the grand canonical ensemble

Conghua Liu, Jin Wang, Kun Zhang, Ran Li

arxiv:2309.13931 v2 · 2023-09-25 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JQMWVIO6JGPZVQYI4MHLE2CMGO}

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

Topology of black hole thermodynamics: A brief review

Receipt and verification

First computed	2026-07-05T07:12:18.625022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c196aa1de499f9ac308e30eb2684c339fa26ddd53b322c076e674e1e0971780

Aliases

arxiv: 2309.13931 · arxiv_version: 2309.13931v2 · doi: 10.48550/arxiv.2309.13931 · pith_short_12: JQMWVIO6JGPZ · pith_short_16: JQMWVIO6JGPZVQYI · pith_short_8: JQMWVIO6

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/JQMWVIO6JGPZVQYI4MHLE2CMGO \
  | 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: 4c196aa1de499f9ac308e30eb2684c339fa26ddd53b322c076e674e1e0971780

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8148a985786c327432d977a1f940e3af3c129010f3cd12370c6757b00f4abfd6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-09-25T08:01:23Z",
    "title_canon_sha256": "1564fa8d357464761aea6b9243fc5f0c5f7b02be3b308fc8c6c06ca654b48bab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.13931",
    "kind": "arxiv",
    "version": 2
  }
}