Pith Number

pith:SPQ7ACPZ

pith:2025:SPQ7ACPZSVLSISFMMYDXUNCPSG

not attested not anchored not stored refs pending

Mapping Quasi-Periodic Oscillations to Lyapunov Exponent across Black Hole Thermodynamic Phase Transitions

R. H. Ali, Xiao-Mei Kuang, Zi-Yu Tang

arxiv:2510.13552 v2 · 2025-10-15 · 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{SPQ7ACPZSVLSISFMMYDXUNCPSG}

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	2026-07-14T01:20:47.061918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93e1f009f995572448ac66077a344f918f46b249d7a66c5bb7d85f8653b38891

Aliases

arxiv: 2510.13552 · arxiv_version: 2510.13552v2 · doi: 10.48550/arxiv.2510.13552 · pith_short_12: SPQ7ACPZSVLS · pith_short_16: SPQ7ACPZSVLSISFM · pith_short_8: SPQ7ACPZ

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/SPQ7ACPZSVLSISFMMYDXUNCPSG \
  | 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: 93e1f009f995572448ac66077a344f918f46b249d7a66c5bb7d85f8653b38891

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a22a98d4ca12073c9bd9106bcef511e21837712a8dfaee93cfecec952404d76",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-10-15T13:49:01Z",
    "title_canon_sha256": "d48fbeaa8958c1fb87c5a8dfcb4f9eebc6e0fa1d66205f3fe83849f18567d674"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.13552",
    "kind": "arxiv",
    "version": 2
  }
}