Pith Number

pith:VVS3SWAD

pith:2016:VVS3SWADWSTDMLMBY5Y5SVNLBI

not attested not anchored not stored refs pending

Products of several commutators in a Lie nilpotent associative algebra

Alexei Krasilnikov, Galina Deryabina

arxiv:1610.03136 v3 · 2016-10-11 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VVS3SWADWSTDMLMBY5Y5SVNLBI}

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	2026-05-18T00:13:48.342426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad65b95803b4a6362d81c771d955ab0a3d1af0401265e90045af253846a8c62e

Aliases

arxiv: 1610.03136 · arxiv_version: 1610.03136v3 · doi: 10.48550/arxiv.1610.03136 · pith_short_12: VVS3SWADWSTD · pith_short_16: VVS3SWADWSTDMLMB · pith_short_8: VVS3SWAD

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/VVS3SWADWSTDMLMBY5Y5SVNLBI \
  | 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: ad65b95803b4a6362d81c771d955ab0a3d1af0401265e90045af253846a8c62e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b2b208c4b613d41fc2fe89751596d70a9a2ae2c53fe0abebd89c055666b6d9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-10-11T00:14:15Z",
    "title_canon_sha256": "97eb134f2f1bb23063e68fde6ae145ad812f707652f838b9b65f2bf16c2696e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03136",
    "kind": "arxiv",
    "version": 3
  }
}