Pith Number

pith:5E4K7JOM

pith:2012:5E4K7JOM4SOWR4WCWWOPDQRQUV

not attested not anchored not stored refs pending

Homogeneity of Lorentzian three-manifolds with recurrent curvature

E. Garcia-Rio, P. Gilkey, S. Nikcevic

arxiv:1210.7764 v2 · 2012-10-29 · 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{5E4K7JOM4SOWR4WCWWOPDQRQUV}

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	2026-05-18T03:41:31.797851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e938afa5cce49d68f2c2b59cf1c230a563d8ad423f91810ca8f0e2e74730e67a

Aliases

arxiv: 1210.7764 · arxiv_version: 1210.7764v2 · doi: 10.48550/arxiv.1210.7764 · pith_short_12: 5E4K7JOM4SOW · pith_short_16: 5E4K7JOM4SOWR4WC · pith_short_8: 5E4K7JOM

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/5E4K7JOM4SOWR4WCWWOPDQRQUV \
  | 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: e938afa5cce49d68f2c2b59cf1c230a563d8ad423f91810ca8f0e2e74730e67a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c544dab2e90b11ba15662f38f1e72a7481cf9b7a4802ba9c312a23461bbbca7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-10-29T18:23:36Z",
    "title_canon_sha256": "a045973935bc1b354ba46ac0c5005e52f762ea69c21698e7c10e66c534487085"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7764",
    "kind": "arxiv",
    "version": 2
  }
}