Pith Number

pith:PA7EL5OH

pith:2023:PA7EL5OHQOZDNYY3GQM2AFDPZI

not attested not anchored not stored refs pending

Invariant subspaces and PCA in nearly matrix multiplication time

Aleksandros Sobczyk, Marko Mladenovi\'c, Mathieu Luisier

arxiv:2311.10459 v4 · 2023-11-17 · cs.DS · cs.NA · 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{PA7EL5OHQOZDNYY3GQM2AFDPZI}

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	2026-07-05T09:27:19.560203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

783e45f5c783b236e31b3419a0146fca36253d7269e83bc70a7af0d15232a9b1

Aliases

arxiv: 2311.10459 · arxiv_version: 2311.10459v4 · doi: 10.48550/arxiv.2311.10459 · pith_short_12: PA7EL5OHQOZD · pith_short_16: PA7EL5OHQOZDNYY3 · pith_short_8: PA7EL5OH

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/PA7EL5OHQOZDNYY3GQM2AFDPZI \
  | 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: 783e45f5c783b236e31b3419a0146fca36253d7269e83bc70a7af0d15232a9b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2354f986f6fb148ee81ac1eb3767d48266b0052c76d13a999c571f4c11bc0377",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2023-11-17T11:28:34Z",
    "title_canon_sha256": "e3db989b02358f4d6a351383a510507f78b12cef4f0c3296af165c2917e63e02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.10459",
    "kind": "arxiv",
    "version": 4
  }
}