Pith Number

pith:4T2EUCN3

pith:2011:4T2EUCN3KS2TM3KP4OP6K5X6TD

not attested not anchored not stored refs pending

The set of numerical semigroups of a given genus

J.C. Rosales, V. Blanco

arxiv:1106.1527 v1 · 2011-06-08 · math.CO · math.AC · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4T2EUCN3KS2TM3KP4OP6K5X6TD}

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	2026-05-18T04:20:22.846821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4f44a09bb54b5366d4fe39fe576fe98c77183b8bbc9de4d1bfa978f58ebc880

Aliases

arxiv: 1106.1527 · arxiv_version: 1106.1527v1 · doi: 10.48550/arxiv.1106.1527 · pith_short_12: 4T2EUCN3KS2T · pith_short_16: 4T2EUCN3KS2TM3KP · pith_short_8: 4T2EUCN3

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/4T2EUCN3KS2TM3KP4OP6K5X6TD \
  | 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: e4f44a09bb54b5366d4fe39fe576fe98c77183b8bbc9de4d1bfa978f58ebc880

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa89cf4a030e6852e0ea69510257250cfb8b60b3f3dd1d7645e2564bd57bfbe0",
    "cross_cats_sorted": [
      "math.AC",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-08T09:23:40Z",
    "title_canon_sha256": "b026443d02257993ff2087c0e3618d1379ad230d498a2bfac85f3439f4a63891"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1527",
    "kind": "arxiv",
    "version": 1
  }
}