Pith Number

pith:CUSXMMUD

pith:2025:CUSXMMUDBYEM7O3VM3ALNHT5V5

not attested not anchored not stored refs pending

Lyapunov exponents as probes for a phase transition of a Kerr-AdS black hole

Chuang Yang, Deyou Chen, Yongtao Liu

arxiv:2501.16999 v4 · 2025-01-28 · 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{CUSXMMUDBYEM7O3VM3ALNHT5V5}

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

2 papers in Pith

Off-shell Hessian thermodynamic stability of higher-curvature black holes

Unifying topological, geometric, and complex classifications of black hole thermodynamics

Receipt and verification

First computed	2026-07-05T10:48:24.736767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15257632830e08cfbb7566c0b69e7daf73fd67261b43f465017054305653a7a4

Aliases

arxiv: 2501.16999 · arxiv_version: 2501.16999v4 · doi: 10.48550/arxiv.2501.16999 · pith_short_12: CUSXMMUDBYEM · pith_short_16: CUSXMMUDBYEM7O3V · pith_short_8: CUSXMMUD

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/CUSXMMUDBYEM7O3VM3ALNHT5V5 \
  | 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: 15257632830e08cfbb7566c0b69e7daf73fd67261b43f465017054305653a7a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93ede99090485b86167024f2c6f1aac950cfc2a1b96225f9c707c511c282b749",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-01-28T14:54:28Z",
    "title_canon_sha256": "8d3705e7cb440e6dd990d40f33150c030dd5806c6ee7c93af25f689596389014"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.16999",
    "kind": "arxiv",
    "version": 4
  }
}