Pith Number

pith:OGOCN2AZ

pith:2019:OGOCN2AZOXWOXKROYG5X2TAVX3

not attested not anchored not stored refs pending

Anchor rings of finite type Gauss map in the Euclidean 3-space

Hassan Al-Zoubi

arxiv:1902.09397 v1 · 2019-02-03 · 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{OGOCN2AZOXWOXKROYG5X2TAVX3}

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	2026-05-17T23:52:45.863732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

719c26e81975ecebaa2ec1bb7d4c15bee17ff5c42b9927a9cc9d22c540ecc80d

Aliases

arxiv: 1902.09397 · arxiv_version: 1902.09397v1 · doi: 10.48550/arxiv.1902.09397 · pith_short_12: OGOCN2AZOXWO · pith_short_16: OGOCN2AZOXWOXKRO · pith_short_8: OGOCN2AZ

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/OGOCN2AZOXWOXKROYG5X2TAVX3 \
  | 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: 719c26e81975ecebaa2ec1bb7d4c15bee17ff5c42b9927a9cc9d22c540ecc80d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2b31e1e8552f1f41917f248bc84ff9e1c99d41f729232d7760d3545c232f86c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-02-03T19:15:25Z",
    "title_canon_sha256": "36eb7a20de40ebe4615d8b23f37fedd99800442dea66669dbf693412425bfb4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.09397",
    "kind": "arxiv",
    "version": 1
  }
}