Pith Number

pith:HE3C4TZT

pith:1999:HE3C4TZT6NTGIRVQ74F4ULWZ2V

not attested not anchored not stored refs pending

Statistical Mechanics on Axially-symmetric Space-times with the Killing Horizon and Entropy of Rotating Black Holes in Induced Gravity

D. Fursaev, V. Frolov

arxiv:gr-qc/9907046 v3 · 1999-07-13 · 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{HE3C4TZT6NTGIRVQ74F4ULWZ2V}

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	2026-05-18T04:35:25.544738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39362e4f33f3666446b0ff0bca2ed9d551b3a6b687355609bbeed19888c4d7c9

Aliases

arxiv: gr-qc/9907046 · arxiv_version: gr-qc/9907046v3 · doi: 10.48550/arxiv.gr-qc/9907046 · pith_short_12: HE3C4TZT6NTG · pith_short_16: HE3C4TZT6NTGIRVQ · pith_short_8: HE3C4TZT

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/HE3C4TZT6NTGIRVQ74F4ULWZ2V \
  | 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: 39362e4f33f3666446b0ff0bca2ed9d551b3a6b687355609bbeed19888c4d7c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb70ef338164666431e8608c2e5efccf8f194631ae0ced5e23b000129104071a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-07-13T00:32:54Z",
    "title_canon_sha256": "80107561dc3e1764fbd82d20e99f3726eb52045d1c84796f1f204e4f01a4ccb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9907046",
    "kind": "arxiv",
    "version": 3
  }
}