Pith Number

pith:KNYZJSWE

pith:2013:KNYZJSWEDXJE4FJVM7QRA2URTB

not attested not anchored not stored refs pending

The torsion subgroup of the additive group of a Lie nilpotent associative ring of class 3

Alexei Krasilnikov, Galina Deryabina

arxiv:1308.4172 v2 · 2013-08-19 · 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{KNYZJSWEDXJE4FJVM7QRA2URTB}

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	2026-05-18T01:31:46.824879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

537194cac41dd24e153567e1106a91987d2974d361d76aab81712f9553d3e78a

Aliases

arxiv: 1308.4172 · arxiv_version: 1308.4172v2 · doi: 10.48550/arxiv.1308.4172 · pith_short_12: KNYZJSWEDXJE · pith_short_16: KNYZJSWEDXJE4FJV · pith_short_8: KNYZJSWE

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/KNYZJSWEDXJE4FJVM7QRA2URTB \
  | 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: 537194cac41dd24e153567e1106a91987d2974d361d76aab81712f9553d3e78a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e77a2d2305f825131e87b957fa6b36885a71af341fbe85dc0072551ce7874d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-08-19T20:55:29Z",
    "title_canon_sha256": "2c603439534d1e03d5e7f244ea60b214a4648f4a62a12677cf9634aed9a0a876"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4172",
    "kind": "arxiv",
    "version": 2
  }
}