Pith Number

pith:YAS7TGYX

pith:2012:YAS7TGYX6KQWFW7CMS7S3HRXMG

not attested not anchored not stored refs pending

Non-normal affine monoids

Lukas Katth\"an

arxiv:1209.6258 v4 · 2012-09-27 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YAS7TGYX6KQWFW7CMS7S3HRXMG}

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	2026-05-18T01:55:58.478276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c025f99b17f2a162dbe264bf2d9e376199566d8f8df2e5e8cee26076385065c6

Aliases

arxiv: 1209.6258 · arxiv_version: 1209.6258v4 · doi: 10.48550/arxiv.1209.6258 · pith_short_12: YAS7TGYX6KQW · pith_short_16: YAS7TGYX6KQWFW7C · pith_short_8: YAS7TGYX

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/YAS7TGYX6KQWFW7CMS7S3HRXMG \
  | 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: c025f99b17f2a162dbe264bf2d9e376199566d8f8df2e5e8cee26076385065c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "922780bacfaf4edb0f5ea500564251c55f799c013d5e38babe761af97bb73283",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-09-27T15:30:31Z",
    "title_canon_sha256": "13f050602c245683a5760ac61bccfff4022bf79d542dab86e3e2de5044fae74c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6258",
    "kind": "arxiv",
    "version": 4
  }
}