Pith Number

pith:NFSBZVPN

pith:2015:NFSBZVPN5INX4MQCJY577B3MJ7

not attested not anchored not stored refs pending

The Zariski topology-graph on the maximal spectrum of modules over commutative rings

Habibollah Ansari-Toroghy, Shokoufeh Habibi

arxiv:1509.08087 v1 · 2015-09-27 · 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{NFSBZVPN5INX4MQCJY577B3MJ7}

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	2026-05-18T01:31:54.757048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69641cd5edea1b7e32024e3bff876c4fc156c9abc795944093d059e9cca196ce

Aliases

arxiv: 1509.08087 · arxiv_version: 1509.08087v1 · doi: 10.48550/arxiv.1509.08087 · pith_short_12: NFSBZVPN5INX · pith_short_16: NFSBZVPN5INX4MQC · pith_short_8: NFSBZVPN

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/NFSBZVPN5INX4MQCJY577B3MJ7 \
  | 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: 69641cd5edea1b7e32024e3bff876c4fc156c9abc795944093d059e9cca196ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dc4ef9caf1e4016fac2f076450de10db1210b79747b434cc2edd7357033bfea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-09-27T11:41:19Z",
    "title_canon_sha256": "cf48e0ea6dc71c5d76744e216760199802be7f8a29a4a6b5fb183c1e5544ead1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08087",
    "kind": "arxiv",
    "version": 1
  }
}