Pith Number

pith:JV53BV3I

pith:2014:JV53BV3IRLLT35ELGD5BKMY4LS

not attested not anchored not stored refs pending

Counting numerical semigroups

Ernst Kunz, Rolf Waldi

arxiv:1410.7150 v1 · 2014-10-27 · 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{JV53BV3IRLLT35ELGD5BKMY4LS}

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	2026-05-18T02:39:17.932513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d7bb0d7688ad73df48b30fa15331c5c8d472c57ede0b42fe8efb32769d62ff4

Aliases

arxiv: 1410.7150 · arxiv_version: 1410.7150v1 · doi: 10.48550/arxiv.1410.7150 · pith_short_12: JV53BV3IRLLT · pith_short_16: JV53BV3IRLLT35EL · pith_short_8: JV53BV3I

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/JV53BV3IRLLT35ELGD5BKMY4LS \
  | 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: 4d7bb0d7688ad73df48b30fa15331c5c8d472c57ede0b42fe8efb32769d62ff4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b18780f2fd8956d90031fede4244d69139ffcc14e8c58bee4e084a1b40d1f6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-27T08:25:08Z",
    "title_canon_sha256": "1b9399f56998637c2749f7e46b8af6271e8ac04fb62a03b2490f44912e9dad21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7150",
    "kind": "arxiv",
    "version": 1
  }
}