Pith Number

pith:ZYZHPCDM

pith:2019:ZYZHPCDMKKMELX254RYMWCDR7Q

not attested not anchored not stored refs pending

Minkowski products of unit quaternion sets

Caterina Stoppato, Graziano Gentili, Hwan Pyo Moon, Rida T. Farouki

arxiv:1901.07349 v1 · 2019-01-07 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZYZHPCDMKKMELX254RYMWCDR7Q}

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	2026-05-17T23:44:57.649294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce3277886c529845df5de470cb0871fc2716ce272ff75b55b95f8e32c1628f80

Aliases

arxiv: 1901.07349 · arxiv_version: 1901.07349v1 · doi: 10.48550/arxiv.1901.07349 · pith_short_12: ZYZHPCDMKKME · pith_short_16: ZYZHPCDMKKMELX25 · pith_short_8: ZYZHPCDM

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/ZYZHPCDMKKMELX254RYMWCDR7Q \
  | 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: ce3277886c529845df5de470cb0871fc2716ce272ff75b55b95f8e32c1628f80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e58d0a91e302bfc2f56076c189d8e871386374dfd8d846423993b149ab5ca771",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-01-07T10:43:40Z",
    "title_canon_sha256": "407a4daacc0e944b26c4e7d839278f2badefe5e2d90357c5bd2b7b3e60d63d1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07349",
    "kind": "arxiv",
    "version": 1
  }
}