Pith Number

pith:C434AQVS

pith:2013:C434AQVSHIXWLZUXDWCQT42JDZ

not attested not anchored not stored refs pending

Matrix multiplication is determined by orthogonality and trace

Chris Heunen, Dominic Horsman

arxiv:1309.6241 v1 · 2013-09-24 · 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{C434AQVSHIXWLZUXDWCQT42JDZ}

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	2026-07-05T06:02:43.254204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1737c042b23a2f65e6971d8509f3491e71335bf89cec120a9d088ce0c7462151

Aliases

arxiv: 1309.6241 · arxiv_version: 1309.6241v1 · doi: 10.48550/arxiv.1309.6241 · pith_short_12: C434AQVSHIXW · pith_short_16: C434AQVSHIXWLZUX · pith_short_8: C434AQVS

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/C434AQVSHIXWLZUXDWCQT42JDZ \
  | 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: 1737c042b23a2f65e6971d8509f3491e71335bf89cec120a9d088ce0c7462151

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6110c4f96149b9dd9c4c16d27c4e3801d00aaebc773522c73c1defdf2b7ce7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-09-24T16:18:45Z",
    "title_canon_sha256": "8a21c0933c5456874a6799d439a437fb18645447d6528b1a9a79ee568619c8b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6241",
    "kind": "arxiv",
    "version": 1
  }
}