Pith Number

pith:UNLN4MLF

pith:2011:UNLN4MLFJOBCDAIXCVHLFXHISL

not attested not anchored not stored refs pending

Maximal Denumerant of a Numerical Semigroup With Embedding Dimension Less Than Four

James Hamblin, Lance Bryant, Lenny Jones

arxiv:1102.5518 v2 · 2011-02-27 · 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{UNLN4MLFJOBCDAIXCVHLFXHISL}

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	2026-05-18T02:47:51.367103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a356de31654b82218117154eb2dce892ced6e1ff4d16e725e2e6a22add1b05da

Aliases

arxiv: 1102.5518 · arxiv_version: 1102.5518v2 · doi: 10.48550/arxiv.1102.5518 · pith_short_12: UNLN4MLFJOBC · pith_short_16: UNLN4MLFJOBCDAIX · pith_short_8: UNLN4MLF

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/UNLN4MLFJOBCDAIXCVHLFXHISL \
  | 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: a356de31654b82218117154eb2dce892ced6e1ff4d16e725e2e6a22add1b05da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77e0b7a7e09e17b1efdbbd0cf9ec3fe52593350fa0eb04fbfaec65241f408c90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-02-27T16:10:38Z",
    "title_canon_sha256": "1582eff9933ef06dd81fff26c5396cc241749797bc526dadefa38396ebc0776f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5518",
    "kind": "arxiv",
    "version": 2
  }
}