Pith Number

pith:GLSHH3GA

pith:2012:GLSHH3GAI6Y7Q264KB3D7KIJXX

not attested not anchored not stored refs pending

Affine semigroups having a unique Betti element

Ignacio Ojeda, Jos\'e Carlos Rosales, Pedro A. Garc\'ia-S\'anchez

arxiv:1203.4138 v2 · 2012-03-19 · math.AC · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GLSHH3GAI6Y7Q264KB3D7KIJXX}

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	2026-05-18T03:01:22.384529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32e473ecc047b1f86bdc50763fa909bddcea52b833f0e995b983c54ec45eca22

Aliases

arxiv: 1203.4138 · arxiv_version: 1203.4138v2 · doi: 10.48550/arxiv.1203.4138 · pith_short_12: GLSHH3GAI6Y7 · pith_short_16: GLSHH3GAI6Y7Q264 · pith_short_8: GLSHH3GA

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/GLSHH3GAI6Y7Q264KB3D7KIJXX \
  | 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: 32e473ecc047b1f86bdc50763fa909bddcea52b833f0e995b983c54ec45eca22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9db4bece40006e0204951e5ed04afbdd9a139c44f042e8e4b1889cf5f94f4635",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-03-19T15:42:20Z",
    "title_canon_sha256": "990f86a18c6c8406515ba49c7d8aa65a962da0c831273e900a4c52e03ec937d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4138",
    "kind": "arxiv",
    "version": 2
  }
}