Pith Number

pith:3UDVEOVH

pith:2002:3UDVEOVH3GXDKC3KNRRSFWV3Y2

not attested not anchored not stored refs pending

Koszul duality for dioperads

Wee Liang Gan

arxiv:math/0201074 v2 · 2002-01-10 · 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{3UDVEOVH3GXDKC3KNRRSFWV3Y2}

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.

Cited by

1 paper in Pith

Graded Frobenius Algebras

Receipt and verification

First computed	2026-07-04T14:35:51.350081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd07523aa7d9ae350b6a6c6322dabbc6b2e72b02bf146f18faea735109585b60

Aliases

arxiv: math/0201074 · arxiv_version: math/0201074v2 · doi: 10.48550/arxiv.math/0201074 · pith_short_12: 3UDVEOVH3GXD · pith_short_16: 3UDVEOVH3GXDKC3K · pith_short_8: 3UDVEOVH

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/3UDVEOVH3GXDKC3KNRRSFWV3Y2 \
  | 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: dd07523aa7d9ae350b6a6c6322dabbc6b2e72b02bf146f18faea735109585b60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfb5745e10be85cafc8175197556e1070513b2aa2141e6b76a4e41fcdfaf80f5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2002-01-10T17:18:18Z",
    "title_canon_sha256": "aa24495ef628dd87004038f36e5c50289d73d398b2e923d7a2d14fa29f87c480"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0201074",
    "kind": "arxiv",
    "version": 2
  }
}