Pith Number

pith:AK33D2R7

pith:2016:AK33D2R7PQWWJFWMGVTFBR5DOI

not attested not anchored not stored refs pending

An abelian quotient of the symplectic derivation Lie algebra of the free Lie algebra

Masaaki Suzuki, Shigeyuki Morita, Takuya Sakasai

arxiv:1608.07645 v1 · 2016-08-27 · math.AT · math.GT · 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{AK33D2R7PQWWJFWMGVTFBR5DOI}

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	2026-05-18T00:04:42.027714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02b7b1ea3f7c2d6496cc356650c7a3720755f93c699f8f58193b9c0fbc30b3f2

Aliases

arxiv: 1608.07645 · arxiv_version: 1608.07645v1 · doi: 10.48550/arxiv.1608.07645 · pith_short_12: AK33D2R7PQWW · pith_short_16: AK33D2R7PQWWJFWM · pith_short_8: AK33D2R7

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/AK33D2R7PQWWJFWMGVTFBR5DOI \
  | 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: 02b7b1ea3f7c2d6496cc356650c7a3720755f93c699f8f58193b9c0fbc30b3f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea068a2c42e808be94a755eacbbfdb5b6c619666ba97bbcc332e7843b8b45846",
    "cross_cats_sorted": [
      "math.GT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-08-27T01:59:51Z",
    "title_canon_sha256": "16bbfce9d8996d1ebc6b08ede0ab7434d6612a8796ba91f0f4f66e5af3ca0735"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07645",
    "kind": "arxiv",
    "version": 1
  }
}