Pith Number

pith:JLM7YNIV

pith:2012:JLM7YNIVIN6MHX5CCCXK2FZQU3

not attested not anchored not stored refs pending

Quasi-permutable normal operators in octonion Hilbert spaces and spectra

S.V. Ludkovsky

arxiv:1204.2571 v1 · 2012-04-11 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JLM7YNIVIN6MHX5CCCXK2FZQU3}

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	2026-05-17T23:58:15.471491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ad9fc3515437cc3dfa210aead1730a6ef7e69a772f5a4419ae8b9d43b7c2036

Aliases

arxiv: 1204.2571 · arxiv_version: 1204.2571v1 · doi: 10.48550/arxiv.1204.2571 · pith_short_12: JLM7YNIVIN6M · pith_short_16: JLM7YNIVIN6MHX5C · pith_short_8: JLM7YNIV

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/JLM7YNIVIN6MHX5CCCXK2FZQU3 \
  | 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: 4ad9fc3515437cc3dfa210aead1730a6ef7e69a772f5a4419ae8b9d43b7c2036

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b75d181bd09720143afe2f9902d6440ae5d290db74dd1800fd8b24e676c059b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-04-11T21:01:45Z",
    "title_canon_sha256": "215e7a7c29ecbc89d7d5f65b7554c9fd828fa54c07d90aec1cb5ce2517d557c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2571",
    "kind": "arxiv",
    "version": 1
  }
}