Pith Number

pith:LFNDGZZU

pith:2021:LFNDGZZU32Z2ALFWEXSN755FFA

not attested not anchored not stored refs pending

Thermodynamics of Kerr-AdS black holes in the restricted phase space

Liu Zhao, Xiangqing Kong, Zeyuan Gao

arxiv:2112.08672 v2 · 2021-12-16 · hep-th · 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{LFNDGZZU32Z2ALFWEXSN755FFA}

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

2 papers in Pith

Gravitational constant as a conserved charge in black hole thermodynamics

Black holes at a finite distance: Quasi-local restricted phase space formalism

Receipt and verification

First computed	2026-07-05T03:54:25.964848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

595a336734deb3a02cb625e4dff7a5283f82c80b8229ef38ccec740221e9c85a

Aliases

arxiv: 2112.08672 · arxiv_version: 2112.08672v2 · doi: 10.48550/arxiv.2112.08672 · pith_short_12: LFNDGZZU32Z2 · pith_short_16: LFNDGZZU32Z2ALFW · pith_short_8: LFNDGZZU

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/LFNDGZZU32Z2ALFWEXSN755FFA \
  | 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: 595a336734deb3a02cb625e4dff7a5283f82c80b8229ef38ccec740221e9c85a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c899c24436887457cf2ba0587c3b848417606cbccdbe17bafa8275680d4b2e3e",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-12-16T07:21:09Z",
    "title_canon_sha256": "88551c1d0832a68e865e6483b281279d49c809b6e578f59b10ce4d21449d736a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.08672",
    "kind": "arxiv",
    "version": 2
  }
}