Pith Number

pith:Q4CBBSSP

pith:2017:Q4CBBSSPJMUMFHEZ2Q4ERNGZN7

not attested not anchored not stored refs pending

On Symmetric But Not Cyclotomic Numerical Semigroups

David Stoner, Mehtaab Sawhney

arxiv:1707.00782 v2 · 2017-07-03 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4CBBSSPJMUMFHEZ2Q4ERNGZN7}

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	2026-05-18T00:40:48.380402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

870410ca4f4b28c29c99d43848b4d96ff43a807da8511f970027f2a8ea05a5c8

Aliases

arxiv: 1707.00782 · arxiv_version: 1707.00782v2 · doi: 10.48550/arxiv.1707.00782 · pith_short_12: Q4CBBSSPJMUM · pith_short_16: Q4CBBSSPJMUMFHEZ · pith_short_8: Q4CBBSSP

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/Q4CBBSSPJMUMFHEZ2Q4ERNGZN7 \
  | 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: 870410ca4f4b28c29c99d43848b4d96ff43a807da8511f970027f2a8ea05a5c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2235041ef505bdbbef49d1b755e789db0c714d84897043c0652e81bed562c47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-03T23:42:25Z",
    "title_canon_sha256": "3407e2fd7731e6c4dfe3f76c318a1d655f0ea4a74bff9cf88c97515a53b2fe34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.00782",
    "kind": "arxiv",
    "version": 2
  }
}