Pith Number

pith:DX7SSVCU

pith:2014:DX7SSVCUXCERRCY75DOJETU3U4

not attested not anchored not stored refs pending

How big is a black hole?

Carlo Rovelli, Marios Christodoulou

arxiv:1411.2854 v3 · 2014-11-11 · 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{DX7SSVCUXCERRCY75DOJETU3U4}

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

2 papers in Pith

Holographic pressure and volume for black holes

Black hole chemistry: thermodynamics with Lambda

Receipt and verification

First computed	2026-05-18T02:20:30.568242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dff295454b889188b1fe8dc924e9ba73d65c93369d147790a9b54951d6eb838

Aliases

arxiv: 1411.2854 · arxiv_version: 1411.2854v3 · doi: 10.48550/arxiv.1411.2854 · pith_short_12: DX7SSVCUXCER · pith_short_16: DX7SSVCUXCERRCY7 · pith_short_8: DX7SSVCU

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/DX7SSVCUXCERRCY75DOJETU3U4 \
  | 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: 1dff295454b889188b1fe8dc924e9ba73d65c93369d147790a9b54951d6eb838

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a9fea1262667c44a2d0ace90c582f35770e27e1dcf143a21c4b39331610da05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-11-11T15:36:39Z",
    "title_canon_sha256": "57b749dc049c63b1eda558e5e2b03fffa276afa3016f1613c0ca03b8338898b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2854",
    "kind": "arxiv",
    "version": 3
  }
}