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Pith Number

pith:PUEVCYLN

pith:2004:PUEVCYLNBKCSTMOO4X7YLAXPU5
not attested not anchored not stored refs pending

Black hole entropy in Loop Quantum Gravity

Krzysztof A. Meissner

arxiv:gr-qc/0407052 v1 · 2004-07-14 · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PUEVCYLNBKCSTMOO4X7YLAXPU5}

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

5 papers in Pith

Receipt and verification
First computed 2026-07-04T16:47:46.378177Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7d0951616d0a8529b1cee5ff8582efa77cd82659f80da5cc75c863b42e5ed826

Aliases

arxiv: gr-qc/0407052 · arxiv_version: gr-qc/0407052v1 · doi: 10.48550/arxiv.gr-qc/0407052 · pith_short_12: PUEVCYLNBKCS · pith_short_16: PUEVCYLNBKCSTMOO · pith_short_8: PUEVCYLN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PUEVCYLNBKCSTMOO4X7YLAXPU5 \
  | 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: 7d0951616d0a8529b1cee5ff8582efa77cd82659f80da5cc75c863b42e5ed826
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a8affc59c2a8057f1867435f1d3c132617eea2f4063d3807f51befaf2933aebd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-07-14T19:36:34Z",
    "title_canon_sha256": "85d996658fd45539ef1a87b11d7c8e9aef12ca12bf170af0b72462107f8000c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0407052",
    "kind": "arxiv",
    "version": 1
  }
}