Pith Number

pith:7RJPG2DQ

pith:2012:7RJPG2DQKGODILVSVBVU7HPV5E

not attested not anchored not stored refs pending

The additive group of a Lie nilpotent associative ring

Alexei Krasilnikov

arxiv:1204.2674 v4 · 2012-04-12 · 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{7RJPG2DQKGODILVSVBVU7HPV5E}

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	2026-05-18T03:08:38.536647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc52f36870519c342eb2a86b4f9df5e9197af547248d41d8850fc31e5c2d5485

Aliases

arxiv: 1204.2674 · arxiv_version: 1204.2674v4 · doi: 10.48550/arxiv.1204.2674 · pith_short_12: 7RJPG2DQKGOD · pith_short_16: 7RJPG2DQKGODILVS · pith_short_8: 7RJPG2DQ

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/7RJPG2DQKGODILVSVBVU7HPV5E \
  | 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: fc52f36870519c342eb2a86b4f9df5e9197af547248d41d8850fc31e5c2d5485

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9e36b7b16834dfc4b79ce04f2a8ea338b252215b7d9a7e33228deeca8a1ff4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-04-12T10:20:06Z",
    "title_canon_sha256": "b124364f33332a0b4691d8d2feafceaab01f35db49e5b389213fa8e4a0e3320c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2674",
    "kind": "arxiv",
    "version": 4
  }
}