Pith Number

pith:FNMRS4FN

pith:2024:FNMRS4FNKNN4VNF5QGWRUVX2LZ

not attested not anchored not stored refs pending

Weakly Divisible Rings

Gaurav Digambar Patil

arxiv:2410.12970 v1 · 2024-10-16 · math.NT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FNMRS4FNKNN4VNF5QGWRUVX2LZ}

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	2026-06-10T01:09:13.463816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b591970ad535bcab4bd81ad1a56fa5e5cfaef5059e31fd97f8627a9a96c6434

Aliases

arxiv: 2410.12970 · arxiv_version: 2410.12970v1 · doi: 10.48550/arxiv.2410.12970 · pith_short_12: FNMRS4FNKNN4 · pith_short_16: FNMRS4FNKNN4VNF5 · pith_short_8: FNMRS4FN

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/FNMRS4FNKNN4VNF5QGWRUVX2LZ \
  | 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: 2b591970ad535bcab4bd81ad1a56fa5e5cfaef5059e31fd97f8627a9a96c6434

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bfd358fcd596c876e98ac73c6a8e87f4f5a77a631d1bf0997773d68773fa073",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-10-16T19:04:26Z",
    "title_canon_sha256": "519f52cc4eb508f6e7d048751d1593f33d2518699761dad2d82ef0f4b287aed7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.12970",
    "kind": "arxiv",
    "version": 1
  }
}