Pith Number

pith:UPJOOGZL

pith:2000:UPJOOGZL65DIOWQE74JGULRJVA

not attested not anchored not stored refs pending

Entropy using Path Integrals for Quantum Black Hole Models

M. Sabido, O. Obregon, V. I. Tkach

arxiv:gr-qc/0003023 v2 · 2000-03-08 · 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{UPJOOGZL65DIOWQE74JGULRJVA}

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	2026-05-18T04:35:35.446661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3d2e71b2bf746875a04ff126a2e29a80c1bb4d3abd65e5f0bfb412c0acef969

Aliases

arxiv: gr-qc/0003023 · arxiv_version: gr-qc/0003023v2 · doi: 10.48550/arxiv.gr-qc/0003023 · pith_short_12: UPJOOGZL65DI · pith_short_16: UPJOOGZL65DIOWQE · pith_short_8: UPJOOGZL

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/UPJOOGZL65DIOWQE74JGULRJVA \
  | 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: a3d2e71b2bf746875a04ff126a2e29a80c1bb4d3abd65e5f0bfb412c0acef969

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "241acc5385ce3d6343533dcd53f047d79e18ebc1a8823e090465c1ca97df837c",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-03-08T00:20:20Z",
    "title_canon_sha256": "b4cd7a80a7515332997e3dc3d6c54c289bac443005dc2b6b5e5cdfba58dc937f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0003023",
    "kind": "arxiv",
    "version": 2
  }
}