Pith Number

pith:AXLXNHXN

pith:2019:AXLXNHXNYEAEXSBNTQ5ELTZRVR

not attested not anchored not stored refs pending

Upper bounds for the length of non-associative algebras

Alexander E. Guterman, Dmitrii K. Kudryavtsev

arxiv:1902.08389 v1 · 2019-02-22 · math.CO · 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{AXLXNHXNYEAEXSBNTQ5ELTZRVR}

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	2026-05-17T23:52:57.399728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05d7769eedc1004bc82d9c3a45cf31ac4a35f30939f4b11bf8f04e7a7f76bb89

Aliases

arxiv: 1902.08389 · arxiv_version: 1902.08389v1 · doi: 10.48550/arxiv.1902.08389 · pith_short_12: AXLXNHXNYEAE · pith_short_16: AXLXNHXNYEAEXSBN · pith_short_8: AXLXNHXN

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/AXLXNHXNYEAEXSBNTQ5ELTZRVR \
  | 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: 05d7769eedc1004bc82d9c3a45cf31ac4a35f30939f4b11bf8f04e7a7f76bb89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7c86f79ebce4120f6b081debae89efc847dbbfd18d700468ed17d0809056ca9",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-02-22T08:09:21Z",
    "title_canon_sha256": "3ac2acf877500d9a188adf9cbbfd168fa6b03c56ddd4e0232572e4b6a808fc72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.08389",
    "kind": "arxiv",
    "version": 1
  }
}