Pith Number

pith:BWYWXSSH

pith:2012:BWYWXSSHD64L2DEI2AHSGNFFWA

not attested not anchored not stored refs pending

Curvature Properties of Two Naveira Classes of Riemannian Product Manifolds

Dobrinka Gribacheva

arxiv:1204.5838 v1 · 2012-04-26 · 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{BWYWXSSHD64L2DEI2AHSGNFFWA}

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	2026-05-18T03:56:59.333152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0db16bca471fb8bd0c88d00f2334a5b00b81cbfeb674b5dd06896ebc98185ee5

Aliases

arxiv: 1204.5838 · arxiv_version: 1204.5838v1 · doi: 10.48550/arxiv.1204.5838 · pith_short_12: BWYWXSSHD64L · pith_short_16: BWYWXSSHD64L2DEI · pith_short_8: BWYWXSSH

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/BWYWXSSHD64L2DEI2AHSGNFFWA \
  | 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: 0db16bca471fb8bd0c88d00f2334a5b00b81cbfeb674b5dd06896ebc98185ee5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e43fae0cb9d0eded7ce4a74326e590e637b0b098c27b84f72c5cb3cad34d725",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-04-26T06:26:36Z",
    "title_canon_sha256": "5a7de96e4c416f5b7ce4a332ef8f2629d80821dcb862ec65e24f658f111a395d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5838",
    "kind": "arxiv",
    "version": 1
  }
}