Pith Number

pith:KR5IPWGQ

pith:2019:KR5IPWGQUSIFHDMVZ7ASHRLEO2

not attested not anchored not stored refs pending

Beyond Coins, Stamps, and Chicken McNuggets: an Invitation to Numerical Semigroups

Christopher O'Neill, Rebecca Garcia, Scott Chapman

arxiv:1902.05848 v1 · 2019-02-15 · math.AC · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KR5IPWGQUSIFHDMVZ7ASHRLEO2}

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	2026-05-17T23:53:55.301192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

547a87d8d0a490538d95cfc123c56476ab0a365315e64244f40a66fee8336b2d

Aliases

arxiv: 1902.05848 · arxiv_version: 1902.05848v1 · doi: 10.48550/arxiv.1902.05848 · pith_short_12: KR5IPWGQUSIF · pith_short_16: KR5IPWGQUSIFHDMV · pith_short_8: KR5IPWGQ

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/KR5IPWGQUSIFHDMVZ7ASHRLEO2 \
  | 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: 547a87d8d0a490538d95cfc123c56476ab0a365315e64244f40a66fee8336b2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dab0f028588218047546817ed6ed85654775a99f5ddc761e70deaef5f252e0e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-02-15T15:34:39Z",
    "title_canon_sha256": "c290189b5110410185efd9b42ab4ec60e2279dd77e214e9d40db3087e25e1347"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.05848",
    "kind": "arxiv",
    "version": 1
  }
}