Pith Number

pith:Q7EFVFF5

pith:2009:Q7EFVFF5COOSTTIFSI4OU6K53S

not attested not anchored not stored refs pending

Quaternion Rhapsody

Aleks Kleyn

arxiv:0909.0855 v5 · 2009-09-04 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q7EFVFF5COOSTTIFSI4OU6K53S}

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	2026-05-18T04:25:11.542274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87c85a94bd139d29cd059238ea795ddca5c1160059de7dbc8abb26dfb0e80e5f

Aliases

arxiv: 0909.0855 · arxiv_version: 0909.0855v5 · doi: 10.48550/arxiv.0909.0855 · pith_short_12: Q7EFVFF5COOS · pith_short_16: Q7EFVFF5COOSTTIF · pith_short_8: Q7EFVFF5

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/Q7EFVFF5COOSTTIFSI4OU6K53S \
  | 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: 87c85a94bd139d29cd059238ea795ddca5c1160059de7dbc8abb26dfb0e80e5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c37887f6810059588311892a14544f00bc880450d11b5e15bde9ac4ba2ada7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2009-09-04T11:19:39Z",
    "title_canon_sha256": "d686cdc0037e3be99a4320ca25d6ac199ab9767da65ca0fc37691efb1b6f0369"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0855",
    "kind": "arxiv",
    "version": 5
  }
}