Pith Number

pith:ZJJ5CERF

pith:2016:ZJJ5CERFTXIITDNLCSVYFIAY7K

not attested not anchored not stored refs pending

Some Properties of the Nil-Graphs of Ideals of Commutative Rings

F. Shaveisi, R. Nikandish

arxiv:1611.03730 v1 · 2016-11-10 · math.AC · 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{ZJJ5CERFTXIITDNLCSVYFIAY7K}

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	2026-05-18T00:59:33.510508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca53d112259dd0898dab14ab82a018fa988a551119b15e2eec03c346a2cb5350

Aliases

arxiv: 1611.03730 · arxiv_version: 1611.03730v1 · doi: 10.48550/arxiv.1611.03730 · pith_short_12: ZJJ5CERFTXII · pith_short_16: ZJJ5CERFTXIITDNL · pith_short_8: ZJJ5CERF

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/ZJJ5CERFTXIITDNLCSVYFIAY7K \
  | 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: ca53d112259dd0898dab14ab82a018fa988a551119b15e2eec03c346a2cb5350

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82572f98bda87580c5632b97f042a6ac0641355030660bf325c4c43e93ef134c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-11-10T08:24:25Z",
    "title_canon_sha256": "78d81e30ff16a77c86153af56d719592086f1305b82353717e44655a14a6c546"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03730",
    "kind": "arxiv",
    "version": 1
  }
}