Pith Number

pith:BTSQC7XO

pith:2015:BTSQC7XOADGUIMJI5E3C4PTZHO

not attested not anchored not stored refs pending

Optimal 5-step nilpotent quadratic algebras

Natalia Iyudu, Stanislav Shkarin

arxiv:1512.08594 v1 · 2015-12-29 · 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{BTSQC7XOADGUIMJI5E3C4PTZHO}

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	2026-05-18T01:23:37.253289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ce5017eee00cd443128e9362e3e793b90c8cb98c0bd6468cc3cf6ba17d94e58

Aliases

arxiv: 1512.08594 · arxiv_version: 1512.08594v1 · doi: 10.48550/arxiv.1512.08594 · pith_short_12: BTSQC7XOADGU · pith_short_16: BTSQC7XOADGUIMJI · pith_short_8: BTSQC7XO

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/BTSQC7XOADGUIMJI5E3C4PTZHO \
  | 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: 0ce5017eee00cd443128e9362e3e793b90c8cb98c0bd6468cc3cf6ba17d94e58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36af6578fdd09ef5218d9ecb91a3a28e559ed0bb6bc202c836dd65f68f60683e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-12-29T03:43:12Z",
    "title_canon_sha256": "c5403e8dbde2a75ab68d733226ed10ee407d55b01f3465ce229440809dd3e4f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08594",
    "kind": "arxiv",
    "version": 1
  }
}