Pith Number

pith:F4LJUEHZ

pith:2026:F4LJUEHZB43NRZ6XOAKYFUVAU2

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A semigroup-theoretic linkage theory for relative ideals: principal and canonical links

Ignacio Ojeda

Relative ideals in numerical semigroups admit two parallel linkage theories, one via semigroup translates and one via canonical ideal translates.

arxiv:2604.14478 v2 · 2026-04-15 · math.AC

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\usepackage{pith}
\pithnumber{F4LJUEHZB43NRZ6XOAKYFUVAU2}

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4 Citations open

5 Replications open

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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.

Claims

C1strongest claim

We develop a semigroup-theoretic analogue of liaison for relative ideals of a numerical semigroup. Two parallel linkage notions are proposed: a theory based on translates of the semigroup and a theory based on translates of the canonical ideal.

C2weakest assumption

That the classical notions of liaison and linkage admit a faithful translation to the setting of relative ideals in numerical semigroups while preserving essential algebraic properties such as symmetry or linkage invariants.

C3one line summary

A new linkage theory for relative ideals in numerical semigroups is introduced via two notions: principal links using semigroup translates and canonical links using canonical ideal translates.

Receipt and verification

First computed	2026-06-19T16:09:58.193454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f169a10f90f36d8e7d7701582d2a0a6ad7fc393306addcd6454c35fcd9d0b4e

Aliases

arxiv: 2604.14478 · arxiv_version: 2604.14478v2 · doi: 10.48550/arxiv.2604.14478 · pith_short_12: F4LJUEHZB43N · pith_short_16: F4LJUEHZB43NRZ6X · pith_short_8: F4LJUEHZ

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/F4LJUEHZB43NRZ6XOAKYFUVAU2 \
  | 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: 2f169a10f90f36d8e7d7701582d2a0a6ad7fc393306addcd6454c35fcd9d0b4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce6d2f4e2535e3a81dec6a03d63e6f1614fc9796bd79705c206032afbf1c7e8e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-04-15T23:26:48Z",
    "title_canon_sha256": "38cc2aea7480aab6ba8a30efafc72adf3227d3fa6d7338d53444e88e69547797"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.14478",
    "kind": "arxiv",
    "version": 2
  }
}