Pith Number

pith:JO4C5JIT

pith:2012:JO4C5JITJ3IYN3FWWG2DBNDI55

not attested not anchored not stored refs pending

On the characterization of non-degenerate foliations of pseudo-Riemannian manifolds with conformally flat leaves

Alfonso Garc\'ia-Parrado G\'omez-Lobo

arxiv:1212.5908 v2 · 2012-12-24 · math.DG · 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{JO4C5JITJ3IYN3FWWG2DBNDI55}

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	2026-05-18T03:25:58.855652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bb82ea5134ed186ecb6b1b430b468ef42b0454af665e3dd4c5013a0a44e3623

Aliases

arxiv: 1212.5908 · arxiv_version: 1212.5908v2 · doi: 10.48550/arxiv.1212.5908 · pith_short_12: JO4C5JITJ3IY · pith_short_16: JO4C5JITJ3IYN3FW · pith_short_8: JO4C5JIT

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/JO4C5JITJ3IYN3FWWG2DBNDI55 \
  | 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: 4bb82ea5134ed186ecb6b1b430b468ef42b0454af665e3dd4c5013a0a44e3623

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "261d6c7c6435b98eed91562b906f23e403571c09dfd624632e2759e44b5d84bf",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-12-24T12:54:29Z",
    "title_canon_sha256": "9b301ec3bd8934781c3f87a7839b06122a1a25d9aea8146731437cecdaad9e3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5908",
    "kind": "arxiv",
    "version": 2
  }
}