Pith Number

pith:XQEOIH43

pith:2014:XQEOIH43MTEYL4ANECX22MDIB7

not attested not anchored not stored refs pending

Lengths and multiplicities of integrally closed modules over a two-dimensional regular local ring

Radha Mohan, Vijay Kodiyalam

arxiv:1412.1404 v1 · 2014-12-03 · 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{XQEOIH43MTEYL4ANECX22MDIB7}

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	2026-05-18T02:32:12.580784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc08e41f9b64c985f00d20afad30680fe13d0c7782789aa5b88246070bb5a6f0

Aliases

arxiv: 1412.1404 · arxiv_version: 1412.1404v1 · doi: 10.48550/arxiv.1412.1404 · pith_short_12: XQEOIH43MTEY · pith_short_16: XQEOIH43MTEYL4AN · pith_short_8: XQEOIH43

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/XQEOIH43MTEYL4ANECX22MDIB7 \
  | 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: bc08e41f9b64c985f00d20afad30680fe13d0c7782789aa5b88246070bb5a6f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7bc7c61a656e965d8997f34128572b2386dcf0d48e63878eed844840e62a6ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-12-03T17:16:09Z",
    "title_canon_sha256": "564c962249c0805e6c7f309b4d3b5d710eac41035c3c19e98d47dd487f0c1ee9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1404",
    "kind": "arxiv",
    "version": 1
  }
}