Pith Number

pith:GMB7IVOA

pith:2016:GMB7IVOAEEYX4ZUJON5DBA6YRB

not attested not anchored not stored refs pending

Good subsemigroups of $\mathbb N^n$

Laura Tozzo, Marco D'Anna, Pedro A. Garc\'ia-S\'anchez, Vincenzo Micale

arxiv:1606.03993 v3 · 2016-06-13 · 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{GMB7IVOAEEYX4ZUJON5DBA6YRB}

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	2026-05-18T00:35:46.809203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3303f455c021317e6689737a3083d88858f1e35834aae423c0c552090ab31c12

Aliases

arxiv: 1606.03993 · arxiv_version: 1606.03993v3 · doi: 10.48550/arxiv.1606.03993 · pith_short_12: GMB7IVOAEEYX · pith_short_16: GMB7IVOAEEYX4ZUJ · pith_short_8: GMB7IVOA

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/GMB7IVOAEEYX4ZUJON5DBA6YRB \
  | 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: 3303f455c021317e6689737a3083d88858f1e35834aae423c0c552090ab31c12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f8552f0ac311d8f5e32faeea42aaa628b11c75e3d89407d91f077c434c49c7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-06-13T15:31:18Z",
    "title_canon_sha256": "d7e6a0568ed9109199548f9c7438255c206d8a542dd1683b6dfaa2c0dcb759a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03993",
    "kind": "arxiv",
    "version": 3
  }
}