Pith Number

pith:XMWY4ASF

pith:2023:XMWY4ASFUTRLSN7KJVULGO6RQT

not attested not anchored not stored refs pending

Thermodynamic instability and the violation of reverse isoperimetric inequality in Torus-like black hole

Benrong Mu, Yiqian He, Yue Song

arxiv:2306.01030 v1 · 2023-06-01 · 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{XMWY4ASFUTRLSN7KJVULGO6RQT}

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

Specific Heats for Rotating Quantum BTZ Black Holes in Extended Thermodynamics

Receipt and verification

First computed	2026-07-05T06:16:37.172073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb2d8e0245a4e2b937ea4d68b33bd184c1166f0132dec9b2ce4006bf0d1bd48a

Aliases

arxiv: 2306.01030 · arxiv_version: 2306.01030v1 · doi: 10.48550/arxiv.2306.01030 · pith_short_12: XMWY4ASFUTRL · pith_short_16: XMWY4ASFUTRLSN7K · pith_short_8: XMWY4ASF

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/XMWY4ASFUTRLSN7KJVULGO6RQT \
  | 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: bb2d8e0245a4e2b937ea4d68b33bd184c1166f0132dec9b2ce4006bf0d1bd48a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3644374c622c5c08dc032be573dd9b9921bc304130d5937aff07381e5a8aca27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-06-01T14:42:26Z",
    "title_canon_sha256": "e0b794fcd82ecba8b5712c03be7ddaacb901c6f37cd1cb12cb0316bd16fd87ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.01030",
    "kind": "arxiv",
    "version": 1
  }
}