Pith Number

pith:WJVOQR2S

pith:2001:WJVOQR2SAI6AHPZJ5WUKV6QKCV

not attested not anchored not stored refs pending

Homotopy Lie algebras, lower central series and the Koszul property

Alexander I. Suciu, Stefan Papadima

arxiv:math/0110303 v2 · 2001-10-28 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WJVOQR2SAI6AHPZJ5WUKV6QKCV}

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	2026-05-18T02:38:00.733008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b26ae84752023c03bf29eda8aafa0a154b9dc969224ab53ae801caf5105ffba2

Aliases

arxiv: math/0110303 · arxiv_version: math/0110303v2 · doi: 10.48550/arxiv.math/0110303 · pith_short_12: WJVOQR2SAI6A · pith_short_16: WJVOQR2SAI6AHPZJ · pith_short_8: WJVOQR2S

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/WJVOQR2SAI6AHPZJ5WUKV6QKCV \
  | 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: b26ae84752023c03bf29eda8aafa0a154b9dc969224ab53ae801caf5105ffba2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "deea7085eee0e3e1d6aa69d5121c1ed9f5958280d5ed84d53d21b3fcd18d295f",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2001-10-28T04:23:21Z",
    "title_canon_sha256": "5b4143c0e0f18c1ba4a9e44ae21c58ee2d1cd10b62e7bb1c97df6593a2ece4ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0110303",
    "kind": "arxiv",
    "version": 2
  }
}