Pith Number

pith:AO3LGP5L

pith:2024:AO3LGP5LXIOFNNLYJCFOPBE2AI

not attested not anchored not stored refs pending

On polynomial equations over split octonions

Alexander N. Rybalov, Artem Lopatin

arxiv:2412.00032 v4 · 2024-11-21 · 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{AO3LGP5LXIOFNNLYJCFOPBE2AI}

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	2026-07-05T10:42:39.574238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03b6b33fabba1c56b578488ae7849a020d2fa6649f1dda61aca6e2d3ecfe11ed

Aliases

arxiv: 2412.00032 · arxiv_version: 2412.00032v4 · doi: 10.48550/arxiv.2412.00032 · pith_short_12: AO3LGP5LXIOF · pith_short_16: AO3LGP5LXIOFNNLY · pith_short_8: AO3LGP5L

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/AO3LGP5LXIOFNNLYJCFOPBE2AI \
  | 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: 03b6b33fabba1c56b578488ae7849a020d2fa6649f1dda61aca6e2d3ecfe11ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bad10658ef0deb1f2011448b48f6a0a23972b9f6ccf1259d31ab0afd98ece22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2024-11-21T03:57:53Z",
    "title_canon_sha256": "e0fdb7184452e8b050808babda2c2443999325b68d3bf374cdf5a9f8e42f73c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.00032",
    "kind": "arxiv",
    "version": 4
  }
}