Pith Number

pith:4PLNMYAS

pith:2026:4PLNMYASHN4ATDBAMSXMTXQUAW

not attested not anchored not stored refs pending

Matched Generators for the Karhunen--Lo\`eve Transform: A Double-Commutator Eigenvalue Theory

Mitchell A. Thornton

arxiv:2607.08788 v1 · 2026-06-26 · eess.SP · cs.IT · cs.NA · math.IT · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4PLNMYASHN4ATDBAMSXMTXQUAW}

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	2026-07-13T00:17:16.743038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3d6d660123b78098c2064aec9de1405acf79cf2ca97ef925d5117b664202d45

Aliases

arxiv: 2607.08788 · arxiv_version: 2607.08788v1 · doi: 10.48550/arxiv.2607.08788 · pith_short_12: 4PLNMYASHN4A · pith_short_16: 4PLNMYASHN4ATDBA · pith_short_8: 4PLNMYAS

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/4PLNMYASHN4ATDBAMSXMTXQUAW \
  | 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: e3d6d660123b78098c2064aec9de1405acf79cf2ca97ef925d5117b664202d45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b44dc0731cd9fa8acc1d01c7bcb0faf32cc04bd80187899469d7ab25737586b7",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.NA",
      "math.IT",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SP",
    "submitted_at": "2026-06-26T22:21:40Z",
    "title_canon_sha256": "8f65659893f9ed92e3acc009474b9e2e16f8998f63d739136a375b00a12f0272"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08788",
    "kind": "arxiv",
    "version": 1
  }
}