Pith Number

pith:T2O6CS7E

pith:2012:T2O6CS7EB56Y2WNWC3IR2WP45Z

not attested not anchored not stored refs pending

An intrinsic formulation for rolling pseudo-Riemannian manifolds

F\'atima Silva Leite, Irina Markina

arxiv:1210.3140 v1 · 2012-10-11 · math.DG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T2O6CS7EB56Y2WNWC3IR2WP45Z}

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	2026-05-18T03:43:28.952487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e9de14be40f7d8d59b616d11d59fcee4a387082eef146f5c7a2fb267a44a6bb

Aliases

arxiv: 1210.3140 · arxiv_version: 1210.3140v1 · doi: 10.48550/arxiv.1210.3140 · pith_short_12: T2O6CS7EB56Y · pith_short_16: T2O6CS7EB56Y2WNW · pith_short_8: T2O6CS7E

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/T2O6CS7EB56Y2WNWC3IR2WP45Z \
  | 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: 9e9de14be40f7d8d59b616d11d59fcee4a387082eef146f5c7a2fb267a44a6bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43c3bbc2a622d0de1ac9c9ba8a0b2890b7969e1d83be151105c77c5c21f2f7c2",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-10-11T06:44:53Z",
    "title_canon_sha256": "2cc46abb63aaf15d9b91f777a7bbb4d408f39e6ff88056b7c1cf66771b7ccce7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3140",
    "kind": "arxiv",
    "version": 1
  }
}