Pith Number

pith:PZ5EJU2M

pith:2013:PZ5EJU2MKJ2JCPSHP7BN6NZ3YM

not attested not anchored not stored refs pending

Classes of complete intersection numerical semigroups

Alessio Sammartano, Marco D'Anna, Vincenzo Micale

arxiv:1304.4290 v3 · 2013-04-15 · math.AC · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZ5EJU2MKJ2JCPSHP7BN6NZ3YM}

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	2026-05-18T02:54:47.084453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e7a44d34c5274913e477fc2df373bc30e861fd5f753b7bbef447374372a6f57

Aliases

arxiv: 1304.4290 · arxiv_version: 1304.4290v3 · doi: 10.48550/arxiv.1304.4290 · pith_short_12: PZ5EJU2MKJ2J · pith_short_16: PZ5EJU2MKJ2JCPSH · pith_short_8: PZ5EJU2M

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/PZ5EJU2MKJ2JCPSHP7BN6NZ3YM \
  | 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: 7e7a44d34c5274913e477fc2df373bc30e861fd5f753b7bbef447374372a6f57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "370effbd019ddf8d2af35a3d5321346633aae8c6fd3bb9fa9a8d887217410b18",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-04-15T23:19:25Z",
    "title_canon_sha256": "2d1adf2bed48efa6a8e63124b5680cc9eca2abc8487e18e7eeddbab11677cb4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4290",
    "kind": "arxiv",
    "version": 3
  }
}