Pith Number

pith:3H7KJ73S

pith:2023:3H7KJ73SMMTN2SKNSSJYHRTNZX

not attested not anchored not stored refs pending

Topological classes of BTZ black holes

Xiangdong Zhang, Yongbin Du

arxiv:2302.11189 v2 · 2023-02-22 · 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{3H7KJ73SMMTN2SKNSSJYHRTNZX}

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	2026-07-05T09:40:13.903517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9fea4ff726326dd494d949383c66dcdc97960baa3c9f82bca07b19c9e569c86

Aliases

arxiv: 2302.11189 · arxiv_version: 2302.11189v2 · doi: 10.48550/arxiv.2302.11189 · pith_short_12: 3H7KJ73SMMTN · pith_short_16: 3H7KJ73SMMTN2SKN · pith_short_8: 3H7KJ73S

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/3H7KJ73SMMTN2SKNSSJYHRTNZX \
  | 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: d9fea4ff726326dd494d949383c66dcdc97960baa3c9f82bca07b19c9e569c86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1418794feef197e21e71f773dd42db4d4129d6c76a6b1daecd603ce0bd414047",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-02-22T07:52:21Z",
    "title_canon_sha256": "021fc38fc0f497acf8d41fcbbcd7fcba53988f0daf9d24ae7f9e943d4f8c2346"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.11189",
    "kind": "arxiv",
    "version": 2
  }
}