Pith Number

pith:PW7JAP2R

pith:2019:PW7JAP2R2XKIXXN2XKAE4FL5FF

not attested not anchored not stored refs pending

Divisibility Theory of Commutative Rings and Ideal Distributivity

Agnes Szendrei, Keith A. Kearnes, P. N. Anh

arxiv:1901.06304 v1 · 2019-01-18 · 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{PW7JAP2R2XKIXXN2XKAE4FL5FF}

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	2026-05-17T23:56:01.424170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dbe903f51d5d48bddbaba804e157d29681ae73f8f73b6dc8ee1eaecfa9e6053

Aliases

arxiv: 1901.06304 · arxiv_version: 1901.06304v1 · doi: 10.48550/arxiv.1901.06304 · pith_short_12: PW7JAP2R2XKI · pith_short_16: PW7JAP2R2XKIXXN2 · pith_short_8: PW7JAP2R

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/PW7JAP2R2XKIXXN2XKAE4FL5FF \
  | 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: 7dbe903f51d5d48bddbaba804e157d29681ae73f8f73b6dc8ee1eaecfa9e6053

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b846b2129dfdcaf0dc228b7df76b137b3749eb8ee065fffded22f6ad5761c8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-01-18T15:48:26Z",
    "title_canon_sha256": "ac62b9d54e85b14c4fff2ea277d532ea5d734dac82d533ca26fe47a378ef58da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.06304",
    "kind": "arxiv",
    "version": 1
  }
}