Pith Number

pith:YTZH7TTL

pith:2010:YTZH7TTLWAYNETVVR62D3EZCW5

not attested not anchored not stored refs pending

Circular planar nearrings: geometrical and combinatorial aspects

Achille Frigeri, Anna Benini, Fiorenza Morini

arxiv:1012.1059 v5 · 2010-12-06 · math.RA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YTZH7TTLWAYNETVVR62D3EZCW5}

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	2026-05-18T04:02:12.015745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4f27fce6bb030d24eb58fb43d9322b76d6a7a08ffbb01dba5cad0413222e0b7

Aliases

arxiv: 1012.1059 · arxiv_version: 1012.1059v5 · doi: 10.48550/arxiv.1012.1059 · pith_short_12: YTZH7TTLWAYN · pith_short_16: YTZH7TTLWAYNETVV · pith_short_8: YTZH7TTL

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/YTZH7TTLWAYNETVVR62D3EZCW5 \
  | 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: c4f27fce6bb030d24eb58fb43d9322b76d6a7a08ffbb01dba5cad0413222e0b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "418bcad166b0fb8c8d111721e89cf87ce98a4793e03e5a08657c1d71daf94382",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-12-06T00:44:28Z",
    "title_canon_sha256": "adabfdd72a91064945bd517e5a73f21e6cf711e404cbb174c966e43a33fc2e4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1059",
    "kind": "arxiv",
    "version": 5
  }
}