Pith Number

pith:V3Y7JRR2

pith:2012:V3Y7JRR2QZUJMNVXD72ZAEPATD

not attested not anchored not stored refs pending

Constructing the set of complete intersection numerical semigroups with a given Frobenius number

Abdallah Assi (LAREMA), Pedro A. Garc\'ia-S\'anchez

arxiv:1204.4258 v3 · 2012-04-19 · math.CO · 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{V3Y7JRR2QZUJMNVXD72ZAEPATD}

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	2026-05-18T03:36:04.587993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aef1f4c63a86689636b71ff59011e098fd1ced824bff0365441efdc0e9fa4d15

Aliases

arxiv: 1204.4258 · arxiv_version: 1204.4258v3 · doi: 10.48550/arxiv.1204.4258 · pith_short_12: V3Y7JRR2QZUJ · pith_short_16: V3Y7JRR2QZUJMNVX · pith_short_8: V3Y7JRR2

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/V3Y7JRR2QZUJMNVXD72ZAEPATD \
  | 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: aef1f4c63a86689636b71ff59011e098fd1ced824bff0365441efdc0e9fa4d15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "349282944f7782d1e01cfc5fcd8fb47107f32f919f003e6ae8ab007d21af559a",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-19T06:12:19Z",
    "title_canon_sha256": "7856c4cecc5eb1d9f20968ebcb1fbc6f13340cad471bc3c1924ca8ab152f2937"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4258",
    "kind": "arxiv",
    "version": 3
  }
}