Pith Number

pith:3NOQAZ3A

pith:2009:3NOQAZ3AYW7FBZG3XKFZUYP3RT

not attested not anchored not stored refs pending

Uniqueness Theorem for Black Hole Space-Times with Multiple Disconnected Horizons

Jay Armas, Troels Harmark

arxiv:0911.4654 v3 · 2009-11-24 · hep-th · 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{3NOQAZ3AYW7FBZG3XKFZUYP3RT}

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	2026-05-18T02:34:03.763046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db5d006760c5be50e4dbba8b9a61fb8cce8c1037ebc93d8df00952a34a365c83

Aliases

arxiv: 0911.4654 · arxiv_version: 0911.4654v3 · doi: 10.48550/arxiv.0911.4654 · pith_short_12: 3NOQAZ3AYW7F · pith_short_16: 3NOQAZ3AYW7FBZG3 · pith_short_8: 3NOQAZ3A

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/3NOQAZ3AYW7FBZG3XKFZUYP3RT \
  | 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: db5d006760c5be50e4dbba8b9a61fb8cce8c1037ebc93d8df00952a34a365c83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3745974365ff27117f750245b0cb13e757e2b29b4572d59bf6a0b7dd6b24b53e",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-11-24T15:43:35Z",
    "title_canon_sha256": "690e3a7a05abbd325610fce8944b86b6f3f54c6c0653605c6ed577ba79c28c87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4654",
    "kind": "arxiv",
    "version": 3
  }
}