Pith Number

pith:SSRQSVVX

pith:2012:SSRQSVVX5KURBWZVBC2QAS33A2

not attested not anchored not stored refs pending

The Maximal Denumerant of a Numerical Semigroup

James Hamblin, Lance Bryant

arxiv:1208.3167 v1 · 2012-08-15 · 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{SSRQSVVX5KURBWZVBC2QAS33A2}

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	2026-05-18T02:47:51.162440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94a30956b7eaa910db3508b5004b7b068245eaa7c828482bd55fc2d1d5b0bcae

Aliases

arxiv: 1208.3167 · arxiv_version: 1208.3167v1 · doi: 10.48550/arxiv.1208.3167 · pith_short_12: SSRQSVVX5KUR · pith_short_16: SSRQSVVX5KURBWZV · pith_short_8: SSRQSVVX

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/SSRQSVVX5KURBWZVBC2QAS33A2 \
  | 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: 94a30956b7eaa910db3508b5004b7b068245eaa7c828482bd55fc2d1d5b0bcae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90549d8bbe61a6990cc6af94917d6445f376e1eb6826870263237e79b25f6c00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-08-15T18:05:14Z",
    "title_canon_sha256": "974891c5cc5e312fe642d254b3c33fb7e25fc888b00ae2df7fb2d67aacdcea7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3167",
    "kind": "arxiv",
    "version": 1
  }
}