Pith Number

pith:S2EVM3HI

pith:2011:S2EVM3HILXXU3Y4KL35Y5MO72D

not attested not anchored not stored refs pending

A natural connection on a basic class of Riemannian product manifolds

Dobrinka Gribacheva

arxiv:1103.2916 v1 · 2011-03-15 · 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{S2EVM3HILXXU3Y4KL35Y5MO72D}

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	2026-05-18T04:26:46.251960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9689566ce85def4de38a5efb8eb1dfd0e511e8e48a9cb4a60c040bbc6c34163f

Aliases

arxiv: 1103.2916 · arxiv_version: 1103.2916v1 · doi: 10.48550/arxiv.1103.2916 · pith_short_12: S2EVM3HILXXU · pith_short_16: S2EVM3HILXXU3Y4K · pith_short_8: S2EVM3HI

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/S2EVM3HILXXU3Y4KL35Y5MO72D \
  | 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: 9689566ce85def4de38a5efb8eb1dfd0e511e8e48a9cb4a60c040bbc6c34163f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7153f2f033b6b1d803daa2e8cf8dd9e34d37a33f21e21a6ea339a50f71827d6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-03-15T14:18:30Z",
    "title_canon_sha256": "3db1b296745c6f4a3a99b5fb3ca3eb3fa18e33a132423064c0b13e8d23d8c71f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2916",
    "kind": "arxiv",
    "version": 1
  }
}