Pith Number

pith:IGXBRXWT

pith:2015:IGXBRXWT2LPS4UHCM62SNDWMVA

not attested not anchored not stored refs pending

Quadratic numerical semigroups and the Koszul property

Dumitru I. Stamate, J\"urgen Herzog

arxiv:1510.00935 v3 · 2015-10-04 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IGXBRXWT2LPS4UHCM62SNDWMVA}

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	2026-05-18T00:32:44.822918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41ae18ded3d2df2e50e267b5268ecca833e338163c9a03b08eb65917d8ea5f49

Aliases

arxiv: 1510.00935 · arxiv_version: 1510.00935v3 · doi: 10.48550/arxiv.1510.00935 · pith_short_12: IGXBRXWT2LPS · pith_short_16: IGXBRXWT2LPS4UHC · pith_short_8: IGXBRXWT

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/IGXBRXWT2LPS4UHCM62SNDWMVA \
  | 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: 41ae18ded3d2df2e50e267b5268ecca833e338163c9a03b08eb65917d8ea5f49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c412bd548ba484a0ce899583d5a34c11e6af7e76a187e6d4311e7b3810e8e3fe",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-10-04T12:54:08Z",
    "title_canon_sha256": "e85ae9da0351bd9a92ebf095ca69302fecef676344c802588854d6f6e50edbfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00935",
    "kind": "arxiv",
    "version": 3
  }
}