Pith Number

pith:SL43KJKC

pith:2012:SL43KJKCCZTO5GJO3MRGFCFECS

not attested not anchored not stored refs pending

Some open questions on anti-de Sitter geometry

Abdelghani Zeghib, Fanny Kassel, Fran\c{c}ois Gu\'eritaud, Francesco Bonsante, Jean-Marc Schlenker, Jeffrey Danciger, Kirill Krasnov, Thierry Barbot, William M. Goldman

arxiv:1205.6103 v1 · 2012-05-28 · math.DG · gr-qc · math-ph · math.GT · 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{SL43KJKCCZTO5GJO3MRGFCFECS}

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

1 paper in Pith

Minimizing the volume of globally hyperbolic anti-de Sitter 3-manifolds

Receipt and verification

First computed	2026-05-18T03:54:48.300349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92f9b525421666ee992edb226288a4148d6aabc5aa4501527dadae457465a098

Aliases

arxiv: 1205.6103 · arxiv_version: 1205.6103v1 · doi: 10.48550/arxiv.1205.6103 · pith_short_12: SL43KJKCCZTO · pith_short_16: SL43KJKCCZTO5GJO · pith_short_8: SL43KJKC

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/SL43KJKCCZTO5GJO3MRGFCFECS \
  | 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: 92f9b525421666ee992edb226288a4148d6aabc5aa4501527dadae457465a098

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f82dd11450579db5ec91a148b003216b30d0770aa30945389677b60228a1d9c",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-05-28T13:05:08Z",
    "title_canon_sha256": "b3e64f3358df5d0565e4aacc1ecb3b91d3e868116d0d921cf3eac986737b20e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6103",
    "kind": "arxiv",
    "version": 1
  }
}