Pith Number

pith:CBEHEMUZ

pith:2017:CBEHEMUZEAPADTAMIWGQ7WF7MH

not attested not anchored not stored refs pending

Frobenius number and minimum genus of numerical semigroups with fixed multiplicity and embedding dimension

A. Vigneron-Tenorio, D. Mar\'in-Arag\'on, J. C. Rosales, J. I. Garc\'ia-Garc\'ia, M. A. Moreno-Fr\'ias

arxiv:1712.05220 v1 · 2017-12-14 · 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{CBEHEMUZEAPADTAMIWGQ7WF7MH}

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	2026-05-18T00:27:58.572807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1048723299201e01cc0c458d0fd8bf61ec381dd6e6acd97dd0bf9db854b4f127

Aliases

arxiv: 1712.05220 · arxiv_version: 1712.05220v1 · doi: 10.48550/arxiv.1712.05220 · pith_short_12: CBEHEMUZEAPA · pith_short_16: CBEHEMUZEAPADTAM · pith_short_8: CBEHEMUZ

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/CBEHEMUZEAPADTAMIWGQ7WF7MH \
  | 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: 1048723299201e01cc0c458d0fd8bf61ec381dd6e6acd97dd0bf9db854b4f127

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "722af533b91d7317ab1af1e80c98b781fc932e3832b5fc236757f35ba25f15fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-12-14T13:37:50Z",
    "title_canon_sha256": "9a7cfa05a5489ee369b7ab9cf8f5ec0f95bee8e3604426184d89c1c1e99779f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.05220",
    "kind": "arxiv",
    "version": 1
  }
}