Pith Number

pith:3LGVGL3J

pith:2003:3LGVGL3J2CO45OLBJ5KFWHJH3W

not attested not anchored not stored refs pending

Semigroups of I-type

Michel Van den Bergh, Tatiana Gateva-Ivanova

arxiv:math/0308071 v1 · 2003-08-08 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3LGVGL3J2CO45OLBJ5KFWHJH3W}

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	2026-07-04T14:37:38.976914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dacd532f69d09dceb9614f545b1d27dd9d5092441f9b160d7a48f06011676f77

Aliases

arxiv: math/0308071 · arxiv_version: math/0308071v1 · doi: 10.48550/arxiv.math/0308071 · pith_short_12: 3LGVGL3J2CO4 · pith_short_16: 3LGVGL3J2CO45OLB · pith_short_8: 3LGVGL3J

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/3LGVGL3J2CO45OLBJ5KFWHJH3W \
  | 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: dacd532f69d09dceb9614f545b1d27dd9d5092441f9b160d7a48f06011676f77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c3c0b536d04e165b21e1b8be9dc5986812d7da832cac8a883d4bbec43abea2d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2003-08-08T11:12:47Z",
    "title_canon_sha256": "f0a3c35eb7c6476be495131a341f20b7de0ced0ec01cc1f89c73f73689a08945"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0308071",
    "kind": "arxiv",
    "version": 1
  }
}