Pith Number

pith:KOYC6SUI

pith:2022:KOYC6SUIUKAT666FPE6PN7S24A

not attested not anchored not stored refs pending

Topological interpretation for phase transitions of black holes

Zhong-Ying Fan

arxiv:2211.12957 v2 · 2022-11-23 · 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{KOYC6SUIUKAT666FPE6PN7S24A}

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	2026-07-05T05:44:04.617263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53b02f4a88a2813f7bc5793cf6fe5ae023284221badb589bb1d972a8ea040d5a

Aliases

arxiv: 2211.12957 · arxiv_version: 2211.12957v2 · doi: 10.48550/arxiv.2211.12957 · pith_short_12: KOYC6SUIUKAT · pith_short_16: KOYC6SUIUKAT666F · pith_short_8: KOYC6SUI

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/KOYC6SUIUKAT666FPE6PN7S24A \
  | 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: 53b02f4a88a2813f7bc5793cf6fe5ae023284221badb589bb1d972a8ea040d5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac4a68f0c19c862cc3dba1d7ff28bb78d676974c38bee2a34546fa0d175c3db1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-11-23T14:00:41Z",
    "title_canon_sha256": "aae6344bb144dfc99003c348a6e73d094ddc9bb99dca0672642ffadd06cedc72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.12957",
    "kind": "arxiv",
    "version": 2
  }
}