Pith Number

pith:IK56GNYK

pith:2017:IK56GNYKZPSW7U545L7WI3MAKX

not attested not anchored not stored refs pending

Chomp on numerical semigroups

Ignacio Garc\'ia-Marco, Kolja Knauer

arxiv:1705.11034 v2 · 2017-05-31 · math.CO · cs.DM · 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{IK56GNYKZPSW7U545L7WI3MAKX}

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	2026-05-18T00:21:27.954705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42bbe3370acbe56fd3bceaff646d8055ee929cf03bb955bb8d504b24fd900264

Aliases

arxiv: 1705.11034 · arxiv_version: 1705.11034v2 · doi: 10.48550/arxiv.1705.11034 · pith_short_12: IK56GNYKZPSW · pith_short_16: IK56GNYKZPSW7U54 · pith_short_8: IK56GNYK

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/IK56GNYKZPSW7U545L7WI3MAKX \
  | 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: 42bbe3370acbe56fd3bceaff646d8055ee929cf03bb955bb8d504b24fd900264

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ff8b2564d3abd076e6165db920265aaa9bd7bcda07efcfe16ac1fe5d6352fff",
    "cross_cats_sorted": [
      "cs.DM",
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-31T11:26:25Z",
    "title_canon_sha256": "da53aa054560a940974fd7fd32bdfeb602c8532cdcbec44df9b04914b155e076"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.11034",
    "kind": "arxiv",
    "version": 2
  }
}