Pith Number

pith:7N7N2UZD

pith:2022:7N7N2UZDVXEO4YXEMJXDXPESTU

not attested not anchored not stored refs pending

Enumerating numerical sets associated to a numerical semigroup

April Chen, Christopher O'Neill, Deepesh Singhal, Liam Lawson, Nathan Kaplan

arxiv:2211.17090 v2 · 2022-11-30 · 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{7N7N2UZDVXEO4YXEMJXDXPESTU}

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	2026-07-05T06:21:14.553768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb7edd5323adc8ee62e4626e3bbc929d20ce0fb6dc4a68d682c435155a3dabb3

Aliases

arxiv: 2211.17090 · arxiv_version: 2211.17090v2 · doi: 10.48550/arxiv.2211.17090 · pith_short_12: 7N7N2UZDVXEO · pith_short_16: 7N7N2UZDVXEO4YXE · pith_short_8: 7N7N2UZD

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/7N7N2UZDVXEO4YXEMJXDXPESTU \
  | 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: fb7edd5323adc8ee62e4626e3bbc929d20ce0fb6dc4a68d682c435155a3dabb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ea72be2c59ee077b575938bfcee966ac942f097cd4c9f35faf6c980b98ca0e4",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-11-30T15:47:12Z",
    "title_canon_sha256": "1a31c8b1b59233fb3a9ecbcb97a311ba03c94b6c0d90220d55b3819cb7fe6e78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.17090",
    "kind": "arxiv",
    "version": 2
  }
}