Pith Number

pith:QYP5UQVQ

pith:2017:QYP5UQVQ6IJ73LXCSXFQIP3VAW

not attested not anchored not stored refs pending

Subspace dynamic mode decomposition for stochastic Koopman analysis

Naoya Takeishi, Takehisa Yairi, Yoshinobu Kawahara

arxiv:1705.04908 v5 · 2017-05-14 · math.DS · 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{QYP5UQVQ6IJ73LXCSXFQIP3VAW}

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	2026-05-18T00:31:51.128662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

861fda42b0f213fdaee295cb043f7505abc841aa773d8efeac35a48da84dff2f

Aliases

arxiv: 1705.04908 · arxiv_version: 1705.04908v5 · doi: 10.48550/arxiv.1705.04908 · pith_short_12: QYP5UQVQ6IJ7 · pith_short_16: QYP5UQVQ6IJ73LXC · pith_short_8: QYP5UQVQ

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/QYP5UQVQ6IJ73LXCSXFQIP3VAW \
  | 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: 861fda42b0f213fdaee295cb043f7505abc841aa773d8efeac35a48da84dff2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56487c59b82bc04575346caef8e77de7bb06d87a973dc3e84d5638258d98daf3",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-05-14T02:22:57Z",
    "title_canon_sha256": "f512697919621f2178b95dcc0d9548c24f7ab9472e27e1f8f9b236fb513aadcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04908",
    "kind": "arxiv",
    "version": 5
  }
}