Pith Number

pith:7FUJFEHH

pith:2025:7FUJFEHHFOYNKAZV2PAPRBWWRA

not attested not anchored not stored refs pending

On ideals of product of commutative rings and their applications

Ali Rezaie Aliabad, Foad Obeidavi, Mehdi Badie

arxiv:2506.08537 v1 · 2025-06-10 · math.RA · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7FUJFEHHFOYNKAZV2PAPRBWWRA}

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	2026-07-05T11:18:51.462578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9689290e72bb0d50335d3c0f886d6881b5796e72bc6effd3c8226bf2e37d8b4

Aliases

arxiv: 2506.08537 · arxiv_version: 2506.08537v1 · doi: 10.48550/arxiv.2506.08537 · pith_short_12: 7FUJFEHHFOYN · pith_short_16: 7FUJFEHHFOYNKAZV · pith_short_8: 7FUJFEHH

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/7FUJFEHHFOYNKAZV2PAPRBWWRA \
  | 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: f9689290e72bb0d50335d3c0f886d6881b5796e72bc6effd3c8226bf2e37d8b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32f4493509d3ec04a4d21fd09228243f1f11c2f38493bf39b70ca2a042b67921",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2025-06-10T07:59:41Z",
    "title_canon_sha256": "9567ebcd72d16102bdbc7fd2a08ca7070e3c672157a08420f4690215a445db44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08537",
    "kind": "arxiv",
    "version": 1
  }
}