Pith Number

pith:KYL7BBOL

pith:2011:KYL7BBOLQBIDJFMAYLVQIT43MW

not attested not anchored not stored refs pending

Natural Connections on Riemannian Product Manifolds

Dobrinka Gribacheva

arxiv:1101.5892 v1 · 2011-01-31 · 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{KYL7BBOLQBIDJFMAYLVQIT43MW}

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	2026-05-18T04:30:24.620980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5617f085cb8050349580c2eb044f9b6599b2350c7e31ef1793f759e7106986b4

Aliases

arxiv: 1101.5892 · arxiv_version: 1101.5892v1 · doi: 10.48550/arxiv.1101.5892 · pith_short_12: KYL7BBOLQBID · pith_short_16: KYL7BBOLQBIDJFMA · pith_short_8: KYL7BBOL

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/KYL7BBOLQBIDJFMAYLVQIT43MW \
  | 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: 5617f085cb8050349580c2eb044f9b6599b2350c7e31ef1793f759e7106986b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14501d27400f7c3a764939dd298be382428f6d8189b1597981aa22940039f4a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-01-31T10:10:22Z",
    "title_canon_sha256": "63e9652923fe4cc4d6a8ccd85d489e72e0c06a9e4479bbd71894446742a327f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5892",
    "kind": "arxiv",
    "version": 1
  }
}