Pith Number

pith:XHLR7VXH

pith:2019:XHLR7VXHCZBS36HHZZCMUBHQGN

not attested not anchored not stored refs pending

Thermodynamic Instabilities of Generalized Exotic BTZ Black Holes

Robert B. Mann, Wan Cong

arxiv:1908.01254 v2 · 2019-08-04 · 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{XHLR7VXHCZBS36HHZZCMUBHQGN}

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	2026-07-05T00:31:14.453858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9d71fd6e716432df8e7ce44ca04f03371315b823e63e57ff0782bd642c3a03e

Aliases

arxiv: 1908.01254 · arxiv_version: 1908.01254v2 · doi: 10.48550/arxiv.1908.01254 · pith_short_12: XHLR7VXHCZBS · pith_short_16: XHLR7VXHCZBS36HH · pith_short_8: XHLR7VXH

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/XHLR7VXHCZBS36HHZZCMUBHQGN \
  | 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: b9d71fd6e716432df8e7ce44ca04f03371315b823e63e57ff0782bd642c3a03e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b76fc699f50dc5df3c33135a393418fc54cb0e5efcf179c4ef6783447d20b8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-08-04T01:40:20Z",
    "title_canon_sha256": "c7c6a5ce357f38d73322f9ac002e4ba2c1dc5fe74596ed2a18e4e9ea42993226"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01254",
    "kind": "arxiv",
    "version": 2
  }
}