Pith Number

pith:WZZRUANZ

pith:2016:WZZRUANZQLKA4WNWJVTVK32YDL

not attested not anchored not stored refs pending

Zero-Annihilator Graphs of Commutative Rings

Hojjat Mostafanasab

arxiv:1609.02537 v1 · 2016-09-08 · 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{WZZRUANZQLKA4WNWJVTVK32YDL}

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	2026-05-18T01:04:54.375862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6731a01b982d40e59b64d67556f581adafaf65213acca2c0d1bcafef71e0d27

Aliases

arxiv: 1609.02537 · arxiv_version: 1609.02537v1 · doi: 10.48550/arxiv.1609.02537 · pith_short_12: WZZRUANZQLKA · pith_short_16: WZZRUANZQLKA4WNW · pith_short_8: WZZRUANZ

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/WZZRUANZQLKA4WNWJVTVK32YDL \
  | 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: b6731a01b982d40e59b64d67556f581adafaf65213acca2c0d1bcafef71e0d27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0de6c6251bca6a1d2900d10d8ce474d550a1ea37600355619dbbfdea2974223",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-09-08T19:17:36Z",
    "title_canon_sha256": "a53f9e7c1a768dc989a006523190d914215dbfc386a2045d3a6c188fbf47009b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02537",
    "kind": "arxiv",
    "version": 1
  }
}