Pith Number

pith:WK7BELVE

pith:2013:WK7BELVEP57MR5S54FDHZT4SYJ

not attested not anchored not stored refs pending

On the Linearity of \omega-primality in Numerical Monoids

Christopher O'Neill, Roberto Pelayo

arxiv:1309.7476 v3 · 2013-09-28 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WK7BELVEP57MR5S54FDHZT4SYJ}

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	2026-05-18T00:08:16.541852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2be122ea47f7ec8f65de1467ccf92c259c0c7aaccea7547ea6d053992685cf2

Aliases

arxiv: 1309.7476 · arxiv_version: 1309.7476v3 · doi: 10.48550/arxiv.1309.7476 · pith_short_12: WK7BELVEP57M · pith_short_16: WK7BELVEP57MR5S5 · pith_short_8: WK7BELVE

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/WK7BELVEP57MR5S54FDHZT4SYJ \
  | 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: b2be122ea47f7ec8f65de1467ccf92c259c0c7aaccea7547ea6d053992685cf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65773ee6fe95b91d6aeb601f692f502fbf6cd04fff72a56f081fb2c9d4eccff9",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-09-28T16:38:18Z",
    "title_canon_sha256": "e24905c12290f06db26e6d55cefdb700cd98e4d1aeae63f9ea69151dad9c424f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7476",
    "kind": "arxiv",
    "version": 3
  }
}