Pith Number

pith:AC3QXUK5

pith:2015:AC3QXUK5KDLEZWQP7MHVSC7NKS

not attested not anchored not stored refs pending

Delta sets for numerical semigroups with embedding dimension three

Alessio Moscariello, David Llena, Pedro A. Garc\'ia-S\'anchez

arxiv:1504.02116 v1 · 2015-04-08 · 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{AC3QXUK5KDLEZWQP7MHVSC7NKS}

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	2026-05-18T02:19:16.018016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00b70bd15d50d64cda0ffb0f590bed5482ef96b7182ba8c3e909d8ef52213cd0

Aliases

arxiv: 1504.02116 · arxiv_version: 1504.02116v1 · doi: 10.48550/arxiv.1504.02116 · pith_short_12: AC3QXUK5KDLE · pith_short_16: AC3QXUK5KDLEZWQP · pith_short_8: AC3QXUK5

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/AC3QXUK5KDLEZWQP7MHVSC7NKS \
  | 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: 00b70bd15d50d64cda0ffb0f590bed5482ef96b7182ba8c3e909d8ef52213cd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9423b8f6b4305191fa757028ad7a26e62ac7130431113684cbe2d834b1da2e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-04-08T20:20:34Z",
    "title_canon_sha256": "1900ce14cec4a5cf51b0764ee5e3ee286a9945cc3488c215f3b80096d9bb7f3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02116",
    "kind": "arxiv",
    "version": 1
  }
}