Pith Number

pith:URDKIE3O

pith:2013:URDKIE3OUHAOV3CFNI4F6RSMA7

not attested not anchored not stored refs pending

Diameter and Girth of Zero Divisor Graph of Multiplicative Lattices

Sachin Sarode, Vinayak Joshi

arxiv:1310.4653 v1 · 2013-10-17 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{URDKIE3OUHAOV3CFNI4F6RSMA7}

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	2026-05-18T03:10:13.444259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a446a4136ea1c0eaec456a385f464c07ddba1999f568f5b99df459153f900ae5

Aliases

arxiv: 1310.4653 · arxiv_version: 1310.4653v1 · doi: 10.48550/arxiv.1310.4653 · pith_short_12: URDKIE3OUHAO · pith_short_16: URDKIE3OUHAOV3CF · pith_short_8: URDKIE3O

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/URDKIE3OUHAOV3CFNI4F6RSMA7 \
  | 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: a446a4136ea1c0eaec456a385f464c07ddba1999f568f5b99df459153f900ae5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3303746a53dbf98424975a92f2f07c3a2724b8e0d025ed135802e1d7d4bc62e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-10-17T10:50:05Z",
    "title_canon_sha256": "c912577d116abba91b77ccf04e909060fba1c7d92385965a2c75fb78dfc002a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4653",
    "kind": "arxiv",
    "version": 1
  }
}