Pith Number

pith:QYFLY4JT

pith:2011:QYFLY4JTJXIB3BIS7M4JEZJKS5

not attested not anchored not stored refs pending

A semilattice structure for the set of numerical semigroups with fixed Frobenius number

J.C. Rosales, V. Blanco

arxiv:1105.4600 v1 · 2011-05-20 · math.AC · math.CO · math.NT · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QYFLY4JTJXIB3BIS7M4JEZJKS5}

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	2026-05-18T04:21:21.132552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

860abc71334dd01d8512fb3892652a97528f01bb153b049e42df9b6a9b4a71d1

Aliases

arxiv: 1105.4600 · arxiv_version: 1105.4600v1 · doi: 10.48550/arxiv.1105.4600 · pith_short_12: QYFLY4JTJXIB · pith_short_16: QYFLY4JTJXIB3BIS · pith_short_8: QYFLY4JT

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/QYFLY4JTJXIB3BIS7M4JEZJKS5 \
  | 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: 860abc71334dd01d8512fb3892652a97528f01bb153b049e42df9b6a9b4a71d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1094056e3fb6a55cfdde049b671849e7672ff49375529205b25d7139f0ad1c31",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-05-20T09:59:21Z",
    "title_canon_sha256": "4b1b79ff2938f031072f6a5a451561369b485e9cb22bbdbbef5cc7b8566c24ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4600",
    "kind": "arxiv",
    "version": 1
  }
}