Pith Number

pith:MMAXLOWY

pith:2013:MMAXLOWYR5BKM7C255QE7RDYPI

not attested not anchored not stored refs pending

Computation of the w-primality and asymptotic w-primality with applications to numerical semigroups

A. Vigneron-Tenorio, J. I. Garc\'ia-Garc\'ia, M.A. Moreno-Fr\'ias

arxiv:1307.5807 v5 · 2013-07-22 · 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{MMAXLOWYR5BKM7C255QE7RDYPI}

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	2026-05-18T02:56:51.907875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

630175bad88f42a67c5aef604fc4787a34eeab25d374e71eef9f7bb9b93c419a

Aliases

arxiv: 1307.5807 · arxiv_version: 1307.5807v5 · doi: 10.48550/arxiv.1307.5807 · pith_short_12: MMAXLOWYR5BK · pith_short_16: MMAXLOWYR5BKM7C2 · pith_short_8: MMAXLOWY

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/MMAXLOWYR5BKM7C255QE7RDYPI \
  | 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: 630175bad88f42a67c5aef604fc4787a34eeab25d374e71eef9f7bb9b93c419a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a53e5d877ddd2b875a92fae2c53d640ee852c7d9b17c06e2ab6aee7b7dab85b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-07-22T18:21:50Z",
    "title_canon_sha256": "24661f5bbae34c4c7e61af3cb9529e09e3aaf4ed0a3dcd3cffce9a6ffd6c0257"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5807",
    "kind": "arxiv",
    "version": 5
  }
}