Pith Number

pith:YH2CSW5F

pith:2011:YH2CSW5FRJ3VWQ7KZMOGHYCKDT

not attested not anchored not stored refs pending

Geometric inequalities for axially symmetric black holes

Sergio Dain

arxiv:1111.3615 v2 · 2011-11-15 · 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{YH2CSW5FRJ3VWQ7KZMOGHYCKDT}

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	2026-05-18T01:59:32.886726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1f4295ba58a775b43eacb1c63e04a1cc60b1faba7042960f98ec407ad1652ef

Aliases

arxiv: 1111.3615 · arxiv_version: 1111.3615v2 · doi: 10.48550/arxiv.1111.3615 · pith_short_12: YH2CSW5FRJ3V · pith_short_16: YH2CSW5FRJ3VWQ7K · pith_short_8: YH2CSW5F

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/YH2CSW5FRJ3VWQ7KZMOGHYCKDT \
  | 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: c1f4295ba58a775b43eacb1c63e04a1cc60b1faba7042960f98ec407ad1652ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81662f89d582761136a4a5b820e384ca9ce990cc2e3306271a5d1ab5685c777a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-11-15T19:35:02Z",
    "title_canon_sha256": "cd5ab88b06306e52c7080ebc6456ce2deafb5109fd0644abe57bb0f6cf9380ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3615",
    "kind": "arxiv",
    "version": 2
  }
}