Pith Number

pith:5ROKZUL7

pith:2018:5ROKZUL7XNCRSL4DZW3NUXCES4

not attested not anchored not stored refs pending

A sequence of quasipolynomials arising from random numerical semigroups

Calvin Leng, Christopher O'Neill

arxiv:1809.09915 v1 · 2018-09-26 · math.CO · 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{5ROKZUL7XNCRSL4DZW3NUXCES4}

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	2026-05-18T00:04:43.297724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec5cacd17fbb45192f83cdb6da5c44972de998948dd7ab73a5382ce3edae6884

Aliases

arxiv: 1809.09915 · arxiv_version: 1809.09915v1 · doi: 10.48550/arxiv.1809.09915 · pith_short_12: 5ROKZUL7XNCR · pith_short_16: 5ROKZUL7XNCRSL4D · pith_short_8: 5ROKZUL7

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/5ROKZUL7XNCRSL4DZW3NUXCES4 \
  | 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: ec5cacd17fbb45192f83cdb6da5c44972de998948dd7ab73a5382ce3edae6884

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfe0e42c17f7d7ea8a608796d420593c4580dffd30221f8cfe2c2d1779572860",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-26T11:33:36Z",
    "title_canon_sha256": "0843e3fa7417b2651b11aaaf61a2b6eed63a61925b6af68f60e8213a3d38fd4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09915",
    "kind": "arxiv",
    "version": 1
  }
}