Pith Number

pith:S2PO3MJI

pith:2022:S2PO3MJI6WC4POSJNDSGAV6Z65

not attested not anchored not stored refs pending

The thermodynamics of isolated horizons in loop quantum gravity

Cong Zhang, Gaoping Long, Shupeng Song, Xiangdong Zhang

arxiv:2205.09984 v3 · 2022-05-20 · 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{S2PO3MJI6WC4POSJNDSGAV6Z65}

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

1 paper in Pith

Evolution of interior entropy of a loop quantum-corrected black hole pierced by a cosmic string

Receipt and verification

First computed	2026-07-05T06:42:39.458352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

969eedb128f585c7ba4968e46057d9f77937dad878130cc5770999c7844153d4

Aliases

arxiv: 2205.09984 · arxiv_version: 2205.09984v3 · doi: 10.48550/arxiv.2205.09984 · pith_short_12: S2PO3MJI6WC4 · pith_short_16: S2PO3MJI6WC4POSJ · pith_short_8: S2PO3MJI

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/S2PO3MJI6WC4POSJNDSGAV6Z65 \
  | 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: 969eedb128f585c7ba4968e46057d9f77937dad878130cc5770999c7844153d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9c9837693619c112321edb335c75b85bcf6724f3e51b09bf9624ee1ef6e73eb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-05-20T06:27:31Z",
    "title_canon_sha256": "b4581d1067cec78abcc3923cb571183056669a5f6efdb5e24a25218f6d983e42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.09984",
    "kind": "arxiv",
    "version": 3
  }
}