Pith Number

pith:Q2BNSA22

pith:2024:Q2BNSA22N4D5MFMYYMOLCSHVZX

not attested not anchored not stored refs pending

Thermodynamic topology of Phantom AdS Black Holes in Massive Gravity

Di Wu, Hao Chen, Hassan Hassanabadi, Meng-Yao Zhang, Zheng-Wen Long

arxiv:2404.08243 v2 · 2024-04-12 · 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{Q2BNSA22N4D5MFMYYMOLCSHVZX}

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

Topology of black hole thermodynamics: A brief review

Receipt and verification

First computed	2026-07-05T08:56:04.179361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8682d9035a6f07d61598c31cb148f5cdd7d492c0ceef9cfb9f10e8578246c074

Aliases

arxiv: 2404.08243 · arxiv_version: 2404.08243v2 · doi: 10.48550/arxiv.2404.08243 · pith_short_12: Q2BNSA22N4D5 · pith_short_16: Q2BNSA22N4D5MFMY · pith_short_8: Q2BNSA22

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/Q2BNSA22N4D5MFMYYMOLCSHVZX \
  | 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: 8682d9035a6f07d61598c31cb148f5cdd7d492c0ceef9cfb9f10e8578246c074

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5e591c916c473d2fb06cad0b37ac23362db90bde52bbacd1b0061479254183b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-04-12T05:12:22Z",
    "title_canon_sha256": "6f6516223ae1981de74b8f3808d963033809dd4de0d0db228a7c27eeb3fd0d49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.08243",
    "kind": "arxiv",
    "version": 2
  }
}