Pith Number

pith:45JEJBXD

pith:2013:45JEJBXD2SWIZ2PI2ZY7UOSP6D

not attested not anchored not stored refs pending

Phase transition and entropy spectrum of BTZ black hole in three-dimensional gravity with torsion

Meng-Sen Ma, Ren Zhao

arxiv:1310.1491 v1 · 2013-10-05 · 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{45JEJBXD2SWIZ2PI2ZY7UOSP6D}

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

Thermodynamics of Chern-Simons AdS$_5$ black holes coupled to $\mathrm{SU}(2)$ solitons

Receipt and verification

First computed	2026-05-18T02:59:20.756900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7524486e3d4ac8ce9e8d671fa3a4ff0e303dfe593b6d5da41ca3e81eebebd71

Aliases

arxiv: 1310.1491 · arxiv_version: 1310.1491v1 · doi: 10.48550/arxiv.1310.1491 · pith_short_12: 45JEJBXD2SWI · pith_short_16: 45JEJBXD2SWIZ2PI · pith_short_8: 45JEJBXD

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/45JEJBXD2SWIZ2PI2ZY7UOSP6D \
  | 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: e7524486e3d4ac8ce9e8d671fa3a4ff0e303dfe593b6d5da41ca3e81eebebd71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a6d660996371846e98aa9d8480c5a480b89f251b7828f1995d391a02faf95d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-10-05T16:28:08Z",
    "title_canon_sha256": "5aa7c67a7a119b1bb8f81c9ae7118f8de676992a1875f20e23e3ac59d3d7cb2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1491",
    "kind": "arxiv",
    "version": 1
  }
}