Pith Number

pith:V557BN6A

pith:2023:V557BN6ALQN3JJ6SHV6R5DSPV5

not attested not anchored not stored refs pending

The structure theorem for sets of length for numerical semigroups

Christopher O'Neill, Gilad Moskowitz

arxiv:2311.05786 v1 · 2023-11-09 · 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{V557BN6ALQN3JJ6SHV6R5DSPV5}

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.

Cited by

1 paper in Pith

Some asymptotic results on $p$-lengths of factorizations for numerical semigroups and arithmetical congruence monoids

Receipt and verification

First computed	2026-07-05T07:11:22.868710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af7bf0b7c05c1bb4a7d23d7d1e8e4faf77cd6116621f6521c262ff72130860b5

Aliases

arxiv: 2311.05786 · arxiv_version: 2311.05786v1 · doi: 10.48550/arxiv.2311.05786 · pith_short_12: V557BN6ALQN3 · pith_short_16: V557BN6ALQN3JJ6S · pith_short_8: V557BN6A

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/V557BN6ALQN3JJ6SHV6R5DSPV5 \
  | 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: af7bf0b7c05c1bb4a7d23d7d1e8e4faf77cd6116621f6521c262ff72130860b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a5bd83f2925230ab62b94d238e5fa0dbe306f40b34f6b70c6462540da0e58f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2023-11-09T23:30:11Z",
    "title_canon_sha256": "d27cb115d833821ccd7eb38c077fe677fb0e06d84f83488267a982d8b15a8b3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.05786",
    "kind": "arxiv",
    "version": 1
  }
}