Pith Number

pith:4IXATIKK

pith:2024:4IXATIKKQHT3Z6R74NHL7WZW3P

not attested not anchored not stored refs pending

Lyapunov Exponents and Phase Structure of Lifshitz and Hyperscaling Violating Black Holes

A. Naveena Kumara, Md Sabir Ali, Shreyas Punacha

arxiv:2401.05181 v2 · 2024-01-10 · 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{4IXATIKKQHT3Z6R74NHL7WZW3P}

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	2026-07-05T07:51:37.910670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e22e09a14a81e7bcfa3fe34ebfdb36dbf9b08edc9113a352fe2e17879ac17813

Aliases

arxiv: 2401.05181 · arxiv_version: 2401.05181v2 · doi: 10.48550/arxiv.2401.05181 · pith_short_12: 4IXATIKKQHT3 · pith_short_16: 4IXATIKKQHT3Z6R7 · pith_short_8: 4IXATIKK

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/4IXATIKKQHT3Z6R74NHL7WZW3P \
  | 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: e22e09a14a81e7bcfa3fe34ebfdb36dbf9b08edc9113a352fe2e17879ac17813

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8ea6c985d6a8d5524a6a50cd1c64e6cf96e9dbcfe151deae409c0fdbd1cf973",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-01-10T14:32:17Z",
    "title_canon_sha256": "fa6de298228e11ba474ffc42b1f4fef5bd66442d8091b8f83678055e219e755b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.05181",
    "kind": "arxiv",
    "version": 2
  }
}