Pith Number

pith:QN4VYYVB

pith:2011:QN4VYYVBFYUYLB2E62NEWKBTOM

not attested not anchored not stored refs pending

Area-charge inequality for black holes

Jos\'e Luis Jaramillo, Mart\'in Reiris, Sergio Dain

arxiv:1109.5602 v1 · 2011-09-26 · 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{QN4VYYVBFYUYLB2E62NEWKBTOM}

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

Thermodynamics of dynamical black holes beyond perturbation theory

Receipt and verification

First computed	2026-05-18T02:00:23.474586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83795c62a12e29858744f69a4b2833732c56ab1303baf8eb30490403d1d0b924

Aliases

arxiv: 1109.5602 · arxiv_version: 1109.5602v1 · doi: 10.48550/arxiv.1109.5602 · pith_short_12: QN4VYYVBFYUY · pith_short_16: QN4VYYVBFYUYLB2E · pith_short_8: QN4VYYVB

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/QN4VYYVBFYUYLB2E62NEWKBTOM \
  | 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: 83795c62a12e29858744f69a4b2833732c56ab1303baf8eb30490403d1d0b924

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "761c9cba8f49d4c098cc3119afae4cc578a85ad9b38d8088db71401d6b5f1034",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-09-26T15:30:26Z",
    "title_canon_sha256": "85a7d2d404e6dca6880fc86f88546114fd9a3f45d8392eb97be1b9c69c68bf03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5602",
    "kind": "arxiv",
    "version": 1
  }
}