Pith Number

pith:VJYBBDP4

pith:2010:VJYBBDP474AHYG7RJOZNISRYCI

not attested not anchored not stored refs pending

Horizon area--angular momentum inequality for a class of axially symmetric black holes

Andr\'es Ace\~na, Mar\'ia E. Gabach Cl\'ement, Sergio Dain

arxiv:1012.2413 v2 · 2010-12-11 · 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{VJYBBDP474AHYG7RJOZNISRYCI}

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	2026-05-18T02:04:30.188871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa70108dfcff007c1bf14bb2d44a38121fd7e011241d72d17319349ac70a3861

Aliases

arxiv: 1012.2413 · arxiv_version: 1012.2413v2 · doi: 10.48550/arxiv.1012.2413 · pith_short_12: VJYBBDP474AH · pith_short_16: VJYBBDP474AHYG7R · pith_short_8: VJYBBDP4

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/VJYBBDP474AHYG7RJOZNISRYCI \
  | 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: aa70108dfcff007c1bf14bb2d44a38121fd7e011241d72d17319349ac70a3861

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8e3a2c1c9d1b54548c7389d71d6d9303294b07a2476464d54706aa0a0f70921",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-12-11T00:11:48Z",
    "title_canon_sha256": "ea6da96a7e38304dc785c124ddf671e7cf45cd9891b4739feafd01bd2006e60a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2413",
    "kind": "arxiv",
    "version": 2
  }
}