Pith Number

pith:KMBFNZ4T

pith:2019:KMBFNZ4T6UTO47QW2FEJNAT4ZV

not attested not anchored not stored refs pending

Characterization of Gaps and Elements of a Numerical Semigroup Using Groebner Bases

Guadalupe M\'arquez-Campos, Jos\'e M. Tornero

arxiv:1907.01217 v1 · 2019-07-02 · math.CO · 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{KMBFNZ4T6UTO47QW2FEJNAT4ZV}

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	2026-05-17T23:41:40.956287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

530256e793f526ee7e16d14896827ccd799b7904e97022c3b8d0e902b0e8c781

Aliases

arxiv: 1907.01217 · arxiv_version: 1907.01217v1 · doi: 10.48550/arxiv.1907.01217 · pith_short_12: KMBFNZ4T6UTO · pith_short_16: KMBFNZ4T6UTO47QW · pith_short_8: KMBFNZ4T

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/KMBFNZ4T6UTO47QW2FEJNAT4ZV \
  | 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: 530256e793f526ee7e16d14896827ccd799b7904e97022c3b8d0e902b0e8c781

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73f44498e9d7a2e0e6d7494b9d30b34c9f0a0c0c5b0e352861b5ff60a1c9462f",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-02T08:05:01Z",
    "title_canon_sha256": "b0c4e41d3639d9f3630816242d3df96ccdcb28bceda34ad55cd6a44b365cf4e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.01217",
    "kind": "arxiv",
    "version": 1
  }
}