Pith Number

pith:ZHC3KBKM

pith:2011:ZHC3KBKMLRQOEJPXCC7X6F67OL

not attested not anchored not stored refs pending

Pressure and volume in the first law of black hole thermodynamics

Brian P. Dolan

arxiv:1106.6260 v3 · 2011-06-30 · gr-qc · 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{ZHC3KBKMLRQOEJPXCC7X6F67OL}

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

19 papers in Pith

Probing Black Hole Phase Transitions through Quasi-Periodic Oscillations

Holographic pressure and volume for black holes

Critical slowing down of black hole phase transition and universal dynamic scaling in AdS black holes

Quantum-statistical constraints on Kerr-anti-de Sitter thermodynamics

Dyonic Black Holes in Lorentz-Violating Gravity with a Background Kalb--Ramond Field

Receipt and verification

First computed	2026-05-18T04:00:49.380929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9c5b5054c5c60e225f710bf7f17df72dd4f7bb965202e67673634191ac8839c

Aliases

arxiv: 1106.6260 · arxiv_version: 1106.6260v3 · doi: 10.48550/arxiv.1106.6260 · pith_short_12: ZHC3KBKMLRQO · pith_short_16: ZHC3KBKMLRQOEJPX · pith_short_8: ZHC3KBKM

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/ZHC3KBKMLRQOEJPXCC7X6F67OL \
  | 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: c9c5b5054c5c60e225f710bf7f17df72dd4f7bb965202e67673634191ac8839c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89462e68d36f8b2b3760cd5643e998095200a30cf45ba2121278eae885685402",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-06-30T15:11:49Z",
    "title_canon_sha256": "3810123de4857a6db2f5c1bd3d4bcec453951b72f0baba13929f688c74b43377"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.6260",
    "kind": "arxiv",
    "version": 3
  }
}