Pith Number

pith:LPQ4SSWE

pith:2009:LPQ4SSWEQ3NIO7AIGM6QYLUGJU

not attested not anchored not stored refs pending

Unitary equivalence of a matrix to its transpose

James E. Tener, Stephan Ramon Garcia

arxiv:0908.2107 v4 · 2009-08-14 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LPQ4SSWEQ3NIO7AIGM6QYLUGJU}

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	2026-05-18T00:59:35.107399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5be1c94ac486da877c08333d0c2e864d14ec795ca2a03744801794dedd4f87f2

Aliases

arxiv: 0908.2107 · arxiv_version: 0908.2107v4 · doi: 10.48550/arxiv.0908.2107 · pith_short_12: LPQ4SSWEQ3NI · pith_short_16: LPQ4SSWEQ3NIO7AI · pith_short_8: LPQ4SSWE

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/LPQ4SSWEQ3NIO7AIGM6QYLUGJU \
  | 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: 5be1c94ac486da877c08333d0c2e864d14ec795ca2a03744801794dedd4f87f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ed920406bf0d78dffec1f62d70d21bb2900b0ba2a4f4e68eb2bf5d861ad592f",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-08-14T17:26:02Z",
    "title_canon_sha256": "0874ecf3a56bb5310807d3f70100fef813cad9551ff11e4fa7cafc7b13a23c27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2107",
    "kind": "arxiv",
    "version": 4
  }
}