Pith Number

pith:WVJKITRG

pith:2017:WVJKITRG53JW4VWZ5ZTKWBWU2I

not attested not anchored not stored refs pending

Learning Koopman Invariant Subspaces for Dynamic Mode Decomposition

Naoya Takeishi, Takehisa Yairi, Yoshinobu Kawahara

arxiv:1710.04340 v2 · 2017-10-12 · cs.LG · math.DS · 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{WVJKITRG53JW4VWZ5ZTKWBWU2I}

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	2026-05-18T00:24:51.090188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b552a44e26eed36e56d9ee66ab06d4d21dc5ac194ffa95def2054171c8da6dbe

Aliases

arxiv: 1710.04340 · arxiv_version: 1710.04340v2 · doi: 10.48550/arxiv.1710.04340 · pith_short_12: WVJKITRG53JW · pith_short_16: WVJKITRG53JW4VWZ · pith_short_8: WVJKITRG

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/WVJKITRG53JW4VWZ5ZTKWBWU2I \
  | 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: b552a44e26eed36e56d9ee66ab06d4d21dc5ac194ffa95def2054171c8da6dbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcb27402b69d938482ff74be0cabefa98ff805bdae8bc9c8ebe5b81956f97a9a",
    "cross_cats_sorted": [
      "math.DS",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2017-10-12T01:37:46Z",
    "title_canon_sha256": "77054047d49a231baa42684207ec9d237d99cb17ae29d47f9eeb7a6d4fef75fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.04340",
    "kind": "arxiv",
    "version": 2
  }
}