Pith Number

pith:JZHXKSAF

pith:2025:JZHXKSAF3T5D6KDHTTXQI5DVFX

not attested not anchored not stored refs pending

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals

Kaidi Shao, Nikos Logothetis, Yuanchao Xu, Zhongwei Shen

arxiv:2501.00701 v4 · 2025-01-01 · cs.LG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JZHXKSAF3T5D6KDHTTXQI5DVFX}

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	2026-07-05T11:10:34.064605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e4f754805dcfa3f28679cef0474752dc6c17e1fb7beb4093c873d2493203524

Aliases

arxiv: 2501.00701 · arxiv_version: 2501.00701v4 · doi: 10.48550/arxiv.2501.00701 · pith_short_12: JZHXKSAF3T5D · pith_short_16: JZHXKSAF3T5D6KDH · pith_short_8: JZHXKSAF

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/JZHXKSAF3T5D6KDHTTXQI5DVFX \
  | 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: 4e4f754805dcfa3f28679cef0474752dc6c17e1fb7beb4093c873d2493203524

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9959968d3e31908af3d9c173e1bc9bb6afe408660ba13aa390209095935effe",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-01-01T02:19:42Z",
    "title_canon_sha256": "f2d5c9eed9db7ef7a8c2686935020a31f026e5a2a68627b1e1f3aa64883738f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.00701",
    "kind": "arxiv",
    "version": 4
  }
}