Pith Number

pith:3WNNVTI6

pith:2005:3WNNVTI6ANM3ULTW6RFOM2PV3V

not attested not anchored not stored refs pending

A generalization of Hawking's black hole topology theorem to higher dimensions

Gregory J. Galloway, Richard Schoen

arxiv:gr-qc/0509107 v2 · 2005-09-27 · gr-qc · hep-th · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3WNNVTI6ANM3ULTW6RFOM2PV3V}

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.

Cited by

2 papers in Pith

Charged and rotating near-horizon geometries in five dimensions

Monodromy-Matrix Description of Extremal Multi-centered Black Holes

Receipt and verification

First computed	2026-07-04T16:55:18.261923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd9adacd1e0359ba2e76f44ae669f5dd548382ace25b98ba85d5ab2764311b44

Aliases

arxiv: gr-qc/0509107 · arxiv_version: gr-qc/0509107v2 · doi: 10.48550/arxiv.gr-qc/0509107 · pith_short_12: 3WNNVTI6ANM3 · pith_short_16: 3WNNVTI6ANM3ULTW · pith_short_8: 3WNNVTI6

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/3WNNVTI6ANM3ULTW6RFOM2PV3V \
  | 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: dd9adacd1e0359ba2e76f44ae669f5dd548382ace25b98ba85d5ab2764311b44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66ea96543717dcf4b1261d5bf8ccc73349ae487a54acd8b1c32222d97bbbf88d",
    "cross_cats_sorted": [
      "hep-th",
      "math.DG"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-09-27T17:40:36Z",
    "title_canon_sha256": "ac78f6563582768a483e6093ce94ac614827ecc3341d3b8ddefdb9ae8d96a02e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0509107",
    "kind": "arxiv",
    "version": 2
  }
}