Pith Number

pith:R33NSO5Z

pith:1997:R33NSO5ZSWS2Y5CGVJNNCQCT6V

not attested not anchored not stored refs pending

Quantum Geometry and Black Hole Entropy

A. Ashtekar, A. Corichi, J. Baez, K. Krasnov

arxiv:gr-qc/9710007 v1 · 1997-10-01 · 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{R33NSO5ZSWS2Y5CGVJNNCQCT6V}

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

4 papers in Pith

Higher-dimensional quantum-corrected Oppenheimer-Snyder model with a cosmological constant

Spinfoams, $\gamma$-duality and parity violation in primordial gravitational waves

Expansion operators in spherically symmetric loop quantum gravity

Finite Hilbert space and maximum mass of Schwarzschild black holes from a Generalized Uncertainty Principle

Receipt and verification

First computed	2026-07-04T16:04:40.251564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ef6d93bb995a5ac7446aa5ad14053f56540ab8aabda6e3cd03ac6e247f05b31

Aliases

arxiv: gr-qc/9710007 · arxiv_version: gr-qc/9710007v1 · doi: 10.48550/arxiv.gr-qc/9710007 · pith_short_12: R33NSO5ZSWS2 · pith_short_16: R33NSO5ZSWS2Y5CG · pith_short_8: R33NSO5Z

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/R33NSO5ZSWS2Y5CGVJNNCQCT6V \
  | 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: 8ef6d93bb995a5ac7446aa5ad14053f56540ab8aabda6e3cd03ac6e247f05b31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42ab2c1dc4191741bca23e5e8b3d10ef089f63c93c8d126793dc44e82eb502f3",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-10-01T20:43:41Z",
    "title_canon_sha256": "17c973587dff2b813ee332e4ba3bedc6e03da654a2b155cc765b2c01bd36774e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9710007",
    "kind": "arxiv",
    "version": 1
  }
}