Pith Number

pith:MPXAOEIH

pith:2019:MPXAOEIHQTGHIN2U3OG7KPGUFN

not attested not anchored not stored refs pending

On the computation of the Ap\'ery set of numerical monoids and affine semigroups

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

arxiv:1907.01222 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{MPXAOEIHQTGHIN2U3OG7KPGUFN}

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	2026-05-17T23:41:40.926841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63ee07110784cc743754db8df53cd42b7bcf64a5687079014ea37b8353164da3

Aliases

arxiv: 1907.01222 · arxiv_version: 1907.01222v1 · doi: 10.48550/arxiv.1907.01222 · pith_short_12: MPXAOEIHQTGH · pith_short_16: MPXAOEIHQTGHIN2U · pith_short_8: MPXAOEIH

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/MPXAOEIHQTGHIN2U3OG7KPGUFN \
  | 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: 63ee07110784cc743754db8df53cd42b7bcf64a5687079014ea37b8353164da3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60d9e8cf8d41de313e25b85e061437003961bfad89d1a80c560770b9bb6546f8",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-02T08:13:08Z",
    "title_canon_sha256": "6309c42e35b4570b5322b70fc8502562d38da3d28f66e0fc0d3300164514c76f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.01222",
    "kind": "arxiv",
    "version": 1
  }
}