Pith Number

pith:LZUM37XJ

pith:2026:LZUM37XJ7QCN3KS3MDDPAGV57H

not attested not anchored not stored refs pending

Octonionic structure operator and its right spectrum

Sergey Grigorian

arxiv:2606.08299 v1 · 2026-06-06 · math.RA · math.DG · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LZUM37XJ7QCN3KS3MDDPAGV57H}

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	2026-06-09T01:05:32.943610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e68cdfee9fc04ddaa5b60c6f01abdf9e71100b675224246386144c960947236

Aliases

arxiv: 2606.08299 · arxiv_version: 2606.08299v1 · doi: 10.48550/arxiv.2606.08299 · pith_short_12: LZUM37XJ7QCN · pith_short_16: LZUM37XJ7QCN3KS3 · pith_short_8: LZUM37XJ

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/LZUM37XJ7QCN3KS3MDDPAGV57H \
  | 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: 5e68cdfee9fc04ddaa5b60c6f01abdf9e71100b675224246386144c960947236

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ca2c527600c73f9a56e58e94296ea49aaaba5a19dc9018bd9320c4c47debc3c",
    "cross_cats_sorted": [
      "math.DG",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2026-06-06T18:52:03Z",
    "title_canon_sha256": "46e0d113dde512cad995e58f60bd4fe3d7651c8f929625fadd16d34345c33af5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08299",
    "kind": "arxiv",
    "version": 1
  }
}