Pith Number

pith:AP3WH5KV

pith:2016:AP3WH5KVWKSMFU567KFOLZEZ3R

not attested not anchored not stored refs pending

Computation of numerical semigroups by means of seeds

Julio Fern\'andez-Gonz\'alez, Maria Bras-Amor\'os

arxiv:1607.01545 v3 · 2016-07-06 · 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{AP3WH5KVWKSMFU567KFOLZEZ3R}

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	2026-05-18T00:27:22.236038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03f763f555b2a4c2d3befa8ae5e499dc46d4130480b71a16db094552f07a63c5

Aliases

arxiv: 1607.01545 · arxiv_version: 1607.01545v3 · doi: 10.48550/arxiv.1607.01545 · pith_short_12: AP3WH5KVWKSM · pith_short_16: AP3WH5KVWKSMFU56 · pith_short_8: AP3WH5KV

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/AP3WH5KVWKSMFU567KFOLZEZ3R \
  | 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: 03f763f555b2a4c2d3befa8ae5e499dc46d4130480b71a16db094552f07a63c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b67b30d71f5293a422c673bc04747500ef3d974e0cca581bda4a0776119f44a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-06T10:14:27Z",
    "title_canon_sha256": "978509d74dc49e741df1d3aca4752355df0747338cb2c2bb071e721b49c45d2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01545",
    "kind": "arxiv",
    "version": 3
  }
}