Pith Number

pith:PFHQSVSV

pith:2025:PFHQSVSVZZCS2XNGAXTK4LSUCJ

not attested not anchored not stored refs pending

Koopman Spectral Analysis and System Identification for Stochastic Dynamical Systems via Yosida Approximation of Generators

Jun Liu, Jun Zhou, Yiming Meng

arxiv:2504.13912 v1 · 2025-04-10 · eess.SY · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PFHQSVSVZZCS2XNGAXTK4LSUCJ}

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	2026-07-05T10:51:08.120738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

794f095655ce452d5da605e6ae2e541259d748713544e6976e2806c346a5ab04

Aliases

arxiv: 2504.13912 · arxiv_version: 2504.13912v1 · doi: 10.48550/arxiv.2504.13912 · pith_short_12: PFHQSVSVZZCS · pith_short_16: PFHQSVSVZZCS2XNG · pith_short_8: PFHQSVSV

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/PFHQSVSVZZCS2XNGAXTK4LSUCJ \
  | 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: 794f095655ce452d5da605e6ae2e541259d748713544e6976e2806c346a5ab04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "347b488ae26b33e3bcc474629f138f41dd04317280b867b647ffd620c49de77f",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2025-04-10T16:49:37Z",
    "title_canon_sha256": "1bf3527513259f0b275e6e8c6b771cdf58a2706fdf97b5ee61b85d00bb75ec29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.13912",
    "kind": "arxiv",
    "version": 1
  }
}