Pith Number

pith:2NXPPPNT

pith:2022:2NXPPPNT64XNNSIKBNVOT2U5T3

not attested not anchored not stored refs pending

Revisiting thermodynamic topologies of black holes

Chaoxi Fang, Jie Jiang, Ming Zhang

arxiv:2211.15534 v3 · 2022-11-28 · 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{2NXPPPNT64XNNSIKBNVOT2U5T3}

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

3 papers in Pith

Hawking--Page Universality, Thermodynamic Dipoles and Categorical Defects

Joule-Thomson effect and Efficiency of deformed AdS-Schwarzschild black hole in presence of quintessence

Topology of black hole thermodynamics: A brief review

Receipt and verification

First computed	2026-07-05T05:39:26.103840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d36ef7bdb3f72ed6c90a0b6ae9ea9d9ec930121e62c7685bf9486545c688e6ad

Aliases

arxiv: 2211.15534 · arxiv_version: 2211.15534v3 · doi: 10.48550/arxiv.2211.15534 · pith_short_12: 2NXPPPNT64XN · pith_short_16: 2NXPPPNT64XNNSIK · pith_short_8: 2NXPPPNT

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/2NXPPPNT64XNNSIKBNVOT2U5T3 \
  | 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: d36ef7bdb3f72ed6c90a0b6ae9ea9d9ec930121e62c7685bf9486545c688e6ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe488a980c80126a05b3c57288ebd6f4b95ef1e1d7ca2ad95dc5759e4782cbf4",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-11-28T16:42:37Z",
    "title_canon_sha256": "ee43e464fc28867304e1609f48b98c4827a76b12de92eeb403edfc0693c7379d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.15534",
    "kind": "arxiv",
    "version": 3
  }
}