Pith Number

pith:VKJ2WFPP

pith:2017:VKJ2WFPP6AZB7WUOP5UIVNCC7E

not attested not anchored not stored refs pending

Orthogonal multiplications of type $[3,4,p], p\leq 12$

Haiyang Wang, Quo-Shin Chi

arxiv:1705.04762 v1 · 2017-05-12 · 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{VKJ2WFPP6AZB7WUOP5UIVNCC7E}

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	2026-05-18T00:44:34.735016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa93ab15eff0321fda8e7f688ab442f923e933e02487aa6bfa2f96933a87095b

Aliases

arxiv: 1705.04762 · arxiv_version: 1705.04762v1 · doi: 10.48550/arxiv.1705.04762 · pith_short_12: VKJ2WFPP6AZB · pith_short_16: VKJ2WFPP6AZB7WUO · pith_short_8: VKJ2WFPP

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/VKJ2WFPP6AZB7WUOP5UIVNCC7E \
  | 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: aa93ab15eff0321fda8e7f688ab442f923e933e02487aa6bfa2f96933a87095b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e83ec450ff0ae3330544113a202e822fea522d33dcc51f002c109506158d4ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-05-12T22:34:01Z",
    "title_canon_sha256": "3c105f01b829f81d84f481fd1af72f8df315622bbd7a03b97a9631f29c4aa482"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04762",
    "kind": "arxiv",
    "version": 1
  }
}