Pith Number

pith:J42Z27KC

pith:2012:J42Z27KC2RFRIUQMQV3OSMCNGN

not attested not anchored not stored refs pending

About pseudo-Riemannian Lichnerowicz conjecture

Charles Frances

arxiv:1211.0635 v1 · 2012-11-03 · 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{J42Z27KC2RFRIUQMQV3OSMCNGN}

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	2026-05-18T03:41:32.964753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f359d7d42d44b14520c8576e9304d337c9c4546225f2022e2831fae65f1a5c9

Aliases

arxiv: 1211.0635 · arxiv_version: 1211.0635v1 · doi: 10.48550/arxiv.1211.0635 · pith_short_12: J42Z27KC2RFR · pith_short_16: J42Z27KC2RFRIUQM · pith_short_8: J42Z27KC

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/J42Z27KC2RFRIUQMQV3OSMCNGN \
  | 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: 4f359d7d42d44b14520c8576e9304d337c9c4546225f2022e2831fae65f1a5c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5d12efad7d0015574af3654cd29d3bb47ebd7df5c2b1ce1711dfee63a5e1fbe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-11-03T20:10:19Z",
    "title_canon_sha256": "ff2dcb443dccbf16dcc6ca9f807a6f0a3a3f67d74a14276f71ce6abcdf0dd7b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0635",
    "kind": "arxiv",
    "version": 1
  }
}