Pith Number

pith:H466KO2J

pith:2026:H466KO2JSLIVTFN5UZJRNJZZPR

not attested not anchored not stored refs pending

On Numerical Semigroups with Fixed Quotient

Ignacio Ojeda, Jos\'e Carlos Rosales

arxiv:2605.14775 v1 · 2026-05-14 · 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{H466KO2JSLIVTFN5UZJRNJZZPR}

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	2026-05-17T23:38:58.613252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f3de53b4992d15995bda65316a7397c531b4b10132c0eb852e98f9d8e21699c

Aliases

arxiv: 2605.14775 · arxiv_version: 2605.14775v1 · doi: 10.48550/arxiv.2605.14775 · pith_short_12: H466KO2JSLIV · pith_short_16: H466KO2JSLIVTFN5 · pith_short_8: H466KO2J

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/H466KO2JSLIVTFN5UZJRNJZZPR \
  | 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: 3f3de53b4992d15995bda65316a7397c531b4b10132c0eb852e98f9d8e21699c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d64ba5501596f76d4fb9eba437cbf0de09e9a17dd5140ab244eb547f39ecfd58",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-05-14T12:41:07Z",
    "title_canon_sha256": "191fd6d132355fb3afed16ff670069f933559194352f428173ee4f22bf54a863"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14775",
    "kind": "arxiv",
    "version": 1
  }
}