Pith Number

pith:VZMUN5I7

pith:2011:VZMUN5I7MB37KP2CGCQGFCYPUO

not attested not anchored not stored refs pending

Thermodynamic Geometry Of Charged Rotating BTZ Black Holes

A. Sanchez, H. Quevedo, K. Saifullah, M. Akbar, S. Taj

arxiv:1101.2722 v1 · 2011-01-14 · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZMUN5I7MB37KP2CGCQGFCYPUO}

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.

Receipt and verification

First computed	2026-05-18T02:22:57.590616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae5946f51f6077f53f4230a0628b0fa3b081d23876cca1f37265d6d1442bd2e3

Aliases

arxiv: 1101.2722 · arxiv_version: 1101.2722v1 · doi: 10.48550/arxiv.1101.2722 · pith_short_12: VZMUN5I7MB37 · pith_short_16: VZMUN5I7MB37KP2C · pith_short_8: VZMUN5I7

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/VZMUN5I7MB37KP2CGCQGFCYPUO \
  | 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: ae5946f51f6077f53f4230a0628b0fa3b081d23876cca1f37265d6d1442bd2e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64d609c6418a2268bc24403e96917b8dddc82e3ecc5d403725fa6e968dff248a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-01-14T06:30:41Z",
    "title_canon_sha256": "89519a220cf85189b45ef41614d84d7a811437e841795bd24df6ee47f79ed529"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2722",
    "kind": "arxiv",
    "version": 1
  }
}