Pith Number

pith:O5WPNWH7

pith:2016:O5WPNWH7UBK5WCD4KFRVGSIIXN

not attested not anchored not stored refs pending

A triality Group of nonassociative algebras with involution

Noriaki Kamiya, Susumu Okubo

arxiv:1609.05892 v1 · 2016-09-19 · math.RA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O5WPNWH7UBK5WCD4KFRVGSIIXN}

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	2026-05-18T01:04:17.116195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

776cf6d8ffa055db087c5163534908bb5efbb561f78e69267949b365768a1228

Aliases

arxiv: 1609.05892 · arxiv_version: 1609.05892v1 · doi: 10.48550/arxiv.1609.05892 · pith_short_12: O5WPNWH7UBK5 · pith_short_16: O5WPNWH7UBK5WCD4 · pith_short_8: O5WPNWH7

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/O5WPNWH7UBK5WCD4KFRVGSIIXN \
  | 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: 776cf6d8ffa055db087c5163534908bb5efbb561f78e69267949b365768a1228

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc8cf461cf2c097c15668f757efc31c7492c3ad9ed42e7a45e89f41ea5356f58",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-09-19T13:24:37Z",
    "title_canon_sha256": "4872ea35c92919ab2eca5dd218ce06cff219abcd1ca63ab97ff64195ccd8754b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05892",
    "kind": "arxiv",
    "version": 1
  }
}