Pith Number

pith:KMRIW2QV

pith:2015:KMRIW2QV6NQKWNSR4GIIPQZUXM

not attested not anchored not stored refs pending

Products of commutators in a Lie nilpotent associative algebra

Alexei Krasilnikov, Galina Deryabina

arxiv:1509.08890 v2 · 2015-09-29 · 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{KMRIW2QV6NQKWNSR4GIIPQZUXM}

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	2026-05-18T00:35:05.664891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53228b6a15f360ab3651e19087c334bb22240a3352197aef482f4e683415c951

Aliases

arxiv: 1509.08890 · arxiv_version: 1509.08890v2 · doi: 10.48550/arxiv.1509.08890 · pith_short_12: KMRIW2QV6NQK · pith_short_16: KMRIW2QV6NQKWNSR · pith_short_8: KMRIW2QV

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/KMRIW2QV6NQKWNSR4GIIPQZUXM \
  | 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: 53228b6a15f360ab3651e19087c334bb22240a3352197aef482f4e683415c951

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86778f03b4c284fb90103cbabe1b93004ff746d40110e090597f585f5c83457f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-09-29T19:00:56Z",
    "title_canon_sha256": "55e3986daf5a7816ab30967ac82e24471311a8462e6e933aa1748e5ba4b4687e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08890",
    "kind": "arxiv",
    "version": 2
  }
}