Pith Number

pith:HQEX437Z

pith:2026:HQEX437ZPQRSLR7XQTSBZEMGTG

not attested not anchored not stored refs pending

Finding Koopman Invariant Subspaces via Personalized PageRank

Hanbaek Lyu, Hyukpyo Hong, Matthew J. Colbrook, Qin Li

arxiv:2605.24666 v1 · 2026-05-23 · math.DS · cs.NA · math.NA · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HQEX437ZPQRSLR7XQTSBZEMGTG}

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	2026-05-26T01:03:52.149949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c097e6ff97c2325c7f784e41c9186999e52c1f831380bdcee122c5397a72beb

Aliases

arxiv: 2605.24666 · arxiv_version: 2605.24666v1 · doi: 10.48550/arxiv.2605.24666 · pith_short_12: HQEX437ZPQRS · pith_short_16: HQEX437ZPQRSLR7X · pith_short_8: HQEX437Z

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/HQEX437ZPQRSLR7XQTSBZEMGTG \
  | 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: 3c097e6ff97c2325c7f784e41c9186999e52c1f831380bdcee122c5397a72beb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a8022641caea9e6e19a4e6b1f706cf95f50fa51493c0ee7f415e1be5c70bced",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-05-23T17:09:02Z",
    "title_canon_sha256": "80cb4b908d6aa7be28a6944ae1613a20ea9c64398f9b582aa42133a79b340749"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24666",
    "kind": "arxiv",
    "version": 1
  }
}