Pith Number

pith:AOTNLHR4

pith:2018:AOTNLHR4ZGUQZNPOYXS2UH4KNF

not attested not anchored not stored refs pending

P-V criticality in the extended phase space of black holes in Einstein-Horndeski gravity

Hong-An Zeng, Hongsheng Zhang, Ya-Peng Hu, Zhi-Ming Jiang

arxiv:1812.09938 v3 · 2018-12-24 · 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{AOTNLHR4ZGUQZNPOYXS2UH4KNF}

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

Thermodynamics of FLRW universe in Quadratic Gravity

Receipt and verification

First computed	2026-07-05T00:10:32.959688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03a6d59e3cc9a90cb5eec5e5aa1f8a69770b0ce6764719794a2e4315fb0617b9

Aliases

arxiv: 1812.09938 · arxiv_version: 1812.09938v3 · doi: 10.48550/arxiv.1812.09938 · pith_short_12: AOTNLHR4ZGUQ · pith_short_16: AOTNLHR4ZGUQZNPO · pith_short_8: AOTNLHR4

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/AOTNLHR4ZGUQZNPOYXS2UH4KNF \
  | 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: 03a6d59e3cc9a90cb5eec5e5aa1f8a69770b0ce6764719794a2e4315fb0617b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a3aa7b26880244fe02855de44cd1a075cb79bc242585ba55b61363f8bfc30e8",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-12-24T15:34:38Z",
    "title_canon_sha256": "03d56279c66ae7fca1e3511559232ff07732f77739659ad9ef02142f18f7b2d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09938",
    "kind": "arxiv",
    "version": 3
  }
}