Pith Number

pith:MIT25JLJ

pith:2013:MIT25JLJHCQGRTTDDL2RKZVTTU

not attested not anchored not stored refs pending

Lower Bounds for the Area of Black Holes in Terms of Mass, Charge, and Angular Momentum

Gilbert Weinstein, Marcus Khuri, Sergio Dain, Sumio Yamada

arxiv:1306.4739 v2 · 2013-06-20 · gr-qc · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MIT25JLJHCQGRTTDDL2RKZVTTU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:17:14.193707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6227aea56938a068ce631af51566b39d26d17cf670ab3568e36647334130ff9c

Aliases

arxiv: 1306.4739 · arxiv_version: 1306.4739v2 · doi: 10.48550/arxiv.1306.4739 · pith_short_12: MIT25JLJHCQG · pith_short_16: MIT25JLJHCQGRTTD · pith_short_8: MIT25JLJ

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/MIT25JLJHCQGRTTDDL2RKZVTTU \
  | 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: 6227aea56938a068ce631af51566b39d26d17cf670ab3568e36647334130ff9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd9439df6a91e451737fe7a3b3a3b338382b5f7317fe7c3716922e9e07591898",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-06-20T02:46:59Z",
    "title_canon_sha256": "e91e106b8c7dcbba11fab0a1032e4f51c2afc795926b395c5673544852a321d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4739",
    "kind": "arxiv",
    "version": 2
  }
}