Pith Number

pith:M4AMOL5S

pith:2025:M4AMOL5SUR2MSFQYHETIHS6MI2

not attested not anchored not stored refs pending

A closed formula for the Geil-Matsumoto bound on numerical semigroups via Ap\'ery sets

Adler Marques, Erik Mendoza, Guilherme Tizziotti, Luciane Quoos

arxiv:2508.17022 v3 · 2025-08-23 · 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{M4AMOL5SUR2MSFQYHETIHS6MI2}

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	2026-05-28T01:04:29.795974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6700c72fb2a474c91618392683cbcc4697b42291d61192e008089cb753a63430

Aliases

arxiv: 2508.17022 · arxiv_version: 2508.17022v3 · doi: 10.48550/arxiv.2508.17022 · pith_short_12: M4AMOL5SUR2M · pith_short_16: M4AMOL5SUR2MSFQY · pith_short_8: M4AMOL5S

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/M4AMOL5SUR2MSFQYHETIHS6MI2 \
  | 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: 6700c72fb2a474c91618392683cbcc4697b42291d61192e008089cb753a63430

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a72081a3ac7c231e5189e3a98d8b91c49c02d0ac2855a50fa4ddf882d0c4fff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-08-23T13:35:12Z",
    "title_canon_sha256": "1388050756404c159e3588f4caa7c4232567b104ea20738d5823ebeac655a827"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.17022",
    "kind": "arxiv",
    "version": 3
  }
}