Pith Number

pith:UJSTUTTM

pith:2011:UJSTUTTMQVGKXO6K7HSRPYPNUX

not attested not anchored not stored refs pending

Abelianizations of derivation Lie algebras of the free associative algebra and the free Lie algebra

Masaaki Suzuki, Shigeyuki Morita, Takuya Sakasai

arxiv:1107.3686 v2 · 2011-07-19 · math.AT · math.AG · 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{UJSTUTTMQVGKXO6K7HSRPYPNUX}

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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

One-dimensionality of certain cocycles for the detection of the Johnson cokernel

Receipt and verification

First computed	2026-07-05T00:26:53.953908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2653a4e6c854cabbbcaf9e517e1eda5d2aad4d7fcf9aad1e154e7366ae10eb5

Aliases

arxiv: 1107.3686 · arxiv_version: 1107.3686v2 · doi: 10.48550/arxiv.1107.3686 · pith_short_12: UJSTUTTMQVGK · pith_short_16: UJSTUTTMQVGKXO6K · pith_short_8: UJSTUTTM

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/UJSTUTTMQVGKXO6K7HSRPYPNUX \
  | 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: a2653a4e6c854cabbbcaf9e517e1eda5d2aad4d7fcf9aad1e154e7366ae10eb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef556465ba3297890148d62c81080748924324e6dcd1703fc4139df8495e2c34",
    "cross_cats_sorted": [
      "math.AG",
      "math.GT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-07-19T11:16:18Z",
    "title_canon_sha256": "dcafa3fba9769296970fb6d687d345711e15475ff50b8dfffa113ed26e48af23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3686",
    "kind": "arxiv",
    "version": 2
  }
}