Pith Number

pith:VVED4PJS

pith:2009:VVED4PJSDRWJK7YMIMEILSF7XJ

not attested not anchored not stored refs pending

Quaternion algebras with the same subfields

David J. Saltman, Skip Garibaldi

arxiv:0906.5137 v1 · 2009-06-28 · 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{VVED4PJSDRWJK7YMIMEILSF7XJ}

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	2026-05-18T04:33:27.312838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad483e3d321c6c957f0c430885c8bfba684080ef889b1ace2ab61c8a3d10ec5c

Aliases

arxiv: 0906.5137 · arxiv_version: 0906.5137v1 · doi: 10.48550/arxiv.0906.5137 · pith_short_12: VVED4PJSDRWJ · pith_short_16: VVED4PJSDRWJK7YM · pith_short_8: VVED4PJS

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/VVED4PJSDRWJK7YMIMEILSF7XJ \
  | 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: ad483e3d321c6c957f0c430885c8bfba684080ef889b1ace2ab61c8a3d10ec5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec7ab9c8f24076a82dfa5371d726a6cab36701ef3dceb4241158322df4d1b209",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-06-28T14:07:31Z",
    "title_canon_sha256": "7eb576973a1a7344e140dfa1eb7d46688400429d8ef66b7c0b282bdce71c05ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.5137",
    "kind": "arxiv",
    "version": 1
  }
}