Pith Number

pith:XG2KVYXW

pith:2022:XG2KVYXWFG2AAQRWWF4O5O3B44

not attested not anchored not stored refs pending

Probing Phase Structure of Black Holes with Lyapunov Exponents

Benrong Mu, Peng Wang, Xiaobo Guo, Yuhang Lu

arxiv:2205.02122 v2 · 2022-05-04 · gr-qc · 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{XG2KVYXWFG2AAQRWWF4O5O3B44}

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

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

Receipt and verification

First computed	2026-07-05T04:54:57.312351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9b4aae2f629b4004236b178eebb61e72462b399d8b5cd848235d9673a4a1cf3

Aliases

arxiv: 2205.02122 · arxiv_version: 2205.02122v2 · doi: 10.48550/arxiv.2205.02122 · pith_short_12: XG2KVYXWFG2A · pith_short_16: XG2KVYXWFG2AAQRW · pith_short_8: XG2KVYXW

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/XG2KVYXWFG2AAQRWWF4O5O3B44 \
  | 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: b9b4aae2f629b4004236b178eebb61e72462b399d8b5cd848235d9673a4a1cf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2638f6ad6ffe2ebc914e32218f9d2da44dbc85776536ee9a1bcb12a85f86f3d4",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-05-04T15:23:40Z",
    "title_canon_sha256": "8e0af4749f470a282c7688684d7829db395325d98799cd37a40f00dd424a859c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.02122",
    "kind": "arxiv",
    "version": 2
  }
}