Pith Number

pith:B25W4IE3

pith:2011:B25W4IE3COW65USVM4LT4HQYVZ

not attested not anchored not stored refs pending

Logarithmic entropy of black hole in gravity with conformal anomaly from quantum tunneling approach

Ran Li

arxiv:1112.3410 v1 · 2011-12-15 · 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{B25W4IE3COW65USVM4LT4HQYVZ}

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	2026-05-18T04:06:09.203362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ebb6e209b13adeed25567173e1e18ae55a7be6e12a2df228d5dba8ecbcd9af1

Aliases

arxiv: 1112.3410 · arxiv_version: 1112.3410v1 · doi: 10.48550/arxiv.1112.3410 · pith_short_12: B25W4IE3COW6 · pith_short_16: B25W4IE3COW65USV · pith_short_8: B25W4IE3

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/B25W4IE3COW65USVM4LT4HQYVZ \
  | 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: 0ebb6e209b13adeed25567173e1e18ae55a7be6e12a2df228d5dba8ecbcd9af1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "807574148374c924482eaabeea1f9359422e5621a29418375a74e57680293300",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-12-15T02:23:50Z",
    "title_canon_sha256": "789cb09b57205e2fc873deb865e753e0a94fceb82b15634a3ed778700e445e0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3410",
    "kind": "arxiv",
    "version": 1
  }
}