Pith Number

pith:A6F4S7GZ

pith:2012:A6F4S7GZCFNFBQ5X2MI35AVMGR

not attested not anchored not stored refs pending

On the Penrose Inequality for Charged Black Holes

Marcelo M. Disconzi, Marcus A. Khuri

arxiv:1207.5484 v2 · 2012-07-23 · math.DG · gr-qc · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A6F4S7GZCFNFBQ5X2MI35AVMGR}

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	2026-05-18T03:02:07.547931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

078bc97cd9115a50c3b7d311be82ac344685118d2a90ed1fa94a734eee3bbb95

Aliases

arxiv: 1207.5484 · arxiv_version: 1207.5484v2 · doi: 10.48550/arxiv.1207.5484 · pith_short_12: A6F4S7GZCFNF · pith_short_16: A6F4S7GZCFNFBQ5X · pith_short_8: A6F4S7GZ

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/A6F4S7GZCFNFBQ5X2MI35AVMGR \
  | 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: 078bc97cd9115a50c3b7d311be82ac344685118d2a90ed1fa94a734eee3bbb95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00ecd18b404d3b662b31e9c8d0cf977c1a5c23e4f525b8d6438b42bb45c41de5",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-07-23T19:02:31Z",
    "title_canon_sha256": "b7ae98c6383816c5f6355d215f758b5adb5f78fbfd0d24d049c6cd89529b4ea7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5484",
    "kind": "arxiv",
    "version": 2
  }
}