Pith Number

pith:P3FTAWAE

pith:2018:P3FTAWAES3KGC4KNV2I42QLSHT

not attested not anchored not stored refs pending

Quantum computing with Octonions

Michael Freedman, Modjtaba Shokrian-Zini, Zhenghan Wang

arxiv:1811.08580 v5 · 2018-11-21 · quant-ph · 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{P3FTAWAES3KGC4KNV2I42QLSHT}

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	2026-07-05T02:10:22.559229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ecb30580496d461714dae91cd41723cfe4a79bc146e6f68c603a9f37f63362f

Aliases

arxiv: 1811.08580 · arxiv_version: 1811.08580v5 · doi: 10.48550/arxiv.1811.08580 · pith_short_12: P3FTAWAES3KG · pith_short_16: P3FTAWAES3KGC4KN · pith_short_8: P3FTAWAE

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/P3FTAWAES3KGC4KNV2I42QLSHT \
  | 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: 7ecb30580496d461714dae91cd41723cfe4a79bc146e6f68c603a9f37f63362f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95d559be4895b04a9cc4f29ad95e3f8da9ae112f5c1e6bc072df806a0fbaa372",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-11-21T03:10:40Z",
    "title_canon_sha256": "6da97abc560ffef3a63fb3dc0d5d2bfe2b6b07c78ac415404156c882c3d14a32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.08580",
    "kind": "arxiv",
    "version": 5
  }
}