Pith Number

pith:IJICWQNT

pith:2009:IJICWQNTCX5WUKDEAURP3HRUVQ

not attested not anchored not stored refs pending

The alternative operad is not Koszul

Askar Dzhumadil'daev, Pasha Zusmanovich

arxiv:0906.1272 v3 · 2009-06-06 · math.RA · cs.MS · cs.SC · 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{IJICWQNTCX5WUKDEAURP3HRUVQ}

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	2026-05-18T03:30:55.781475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42502b41b315fb6a28640522fd9e34ac2a139a39422e6a814aec369f40b41c04

Aliases

arxiv: 0906.1272 · arxiv_version: 0906.1272v3 · doi: 10.48550/arxiv.0906.1272 · pith_short_12: IJICWQNTCX5W · pith_short_16: IJICWQNTCX5WUKDE · pith_short_8: IJICWQNT

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/IJICWQNTCX5WUKDEAURP3HRUVQ \
  | 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: 42502b41b315fb6a28640522fd9e34ac2a139a39422e6a814aec369f40b41c04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e0f4511a54d8ad918bfc245621fba256c73fd9da486a650b4215b5a4490f451",
    "cross_cats_sorted": [
      "cs.MS",
      "cs.SC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-06-06T12:44:23Z",
    "title_canon_sha256": "e2d38444f089e7ee41456100f9cef338f3ab958fed834bfd4996efa1c374756f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1272",
    "kind": "arxiv",
    "version": 3
  }
}