Pith Number

pith:XMOCQ2E5

pith:2024:XMOCQ2E5TFGS23RNGULVS3IWWK

not attested not anchored not stored refs pending

Rigged Dynamic Mode Decomposition: Data-Driven Generalized Eigenfunction Decompositions for Koopman Operators

Andrew Horning, Catherine Drysdale, Matthew J. Colbrook

arxiv:2405.00782 v2 · 2024-05-01 · math.DS · cs.LG · cs.NA · math.NA · math.OC · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XMOCQ2E5TFGS23RNGULVS3IWWK}

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	2026-07-05T09:43:29.255915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb1c28689d994d2d6e2d3517596d16b2bf0319e2e2c6ae1fde8f495b340c1870

Aliases

arxiv: 2405.00782 · arxiv_version: 2405.00782v2 · doi: 10.48550/arxiv.2405.00782 · pith_short_12: XMOCQ2E5TFGS · pith_short_16: XMOCQ2E5TFGS23RN · pith_short_8: XMOCQ2E5

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/XMOCQ2E5TFGS23RNGULVS3IWWK \
  | 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: bb1c28689d994d2d6e2d3517596d16b2bf0319e2e2c6ae1fde8f495b340c1870

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0143b1271e05e97c1c12e18fc1e31af506b23d11ef07fd5bcbcc119b8d835bb5",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.NA",
      "math.OC",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-05-01T18:00:18Z",
    "title_canon_sha256": "1957ff8af23cadad7732cc9a33efdaddd17710eb77ffd9dd586c12fd51b81f92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.00782",
    "kind": "arxiv",
    "version": 2
  }
}