Pith Number

pith:OBIWUJQP

pith:1999:OBIWUJQPCQJIMWPINSKUUAMPOL

not attested not anchored not stored refs pending

Entropy, topology of two-dimensional extreme black holes

Bin Wang, Ru-Keng Su

arxiv:gr-qc/9901085 v1 · 1999-01-29 · 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{OBIWUJQPCQJIMWPINSKUUAMPOL}

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.

Receipt and verification

First computed	2026-05-18T04:35:06.132566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70516a260f14128659e86c954a018f72fa694c0c38e7a57b2d5e04f1d87e3d96

Aliases

arxiv: gr-qc/9901085 · arxiv_version: gr-qc/9901085v1 · doi: 10.48550/arxiv.gr-qc/9901085 · pith_short_12: OBIWUJQPCQJI · pith_short_16: OBIWUJQPCQJIMWPI · pith_short_8: OBIWUJQP

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/OBIWUJQPCQJIMWPINSKUUAMPOL \
  | 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: 70516a260f14128659e86c954a018f72fa694c0c38e7a57b2d5e04f1d87e3d96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1f53a2380c2cb2bb5c8c219e02bb4cac97ad3baa0e9cc87c3fe385eda829b21",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-01-29T11:58:24Z",
    "title_canon_sha256": "e028fb1504ae9e4821a129ac11b29f46fc11ac75ecd873b136f00f80c769b7da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9901085",
    "kind": "arxiv",
    "version": 1
  }
}