Pith Number

pith:LGUW7GZM

pith:2016:LGUW7GZMPJH3PZJDB73XL37HPH

not attested not anchored not stored refs pending

Zero-divisor graphs of lower dismantlable lattices-II

Avinash Patil, B. N. Waphare, Vinayak Joshi

arxiv:1609.09663 v1 · 2016-09-30 · 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{LGUW7GZMPJH3PZJDB73XL37HPH}

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	2026-05-18T01:03:35.371438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59a96f9b2c7a4fb7e5230ff775efe779e7923d542cbdb5ea731d77e3573f468f

Aliases

arxiv: 1609.09663 · arxiv_version: 1609.09663v1 · doi: 10.48550/arxiv.1609.09663 · pith_short_12: LGUW7GZMPJH3 · pith_short_16: LGUW7GZMPJH3PZJD · pith_short_8: LGUW7GZM

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/LGUW7GZMPJH3PZJDB73XL37HPH \
  | 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: 59a96f9b2c7a4fb7e5230ff775efe779e7923d542cbdb5ea731d77e3573f468f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f56df19c018ac3531dedf5e1031b07c5e2ccd5fa197858d9ef44cd362d3d95e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-30T10:28:13Z",
    "title_canon_sha256": "fa1592363cf83398671db4d992f1d774bb5a8f98bf87f7d6548515b1872e2c18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09663",
    "kind": "arxiv",
    "version": 1
  }
}