Pith Number

pith:TN3MFECO

pith:2023:TN3MFECOODJ55JGCLWE4XDNTSA

not attested not anchored not stored refs pending

Beyond expectations: Residual Dynamic Mode Decomposition and Variance for Stochastic Dynamical Systems

Alex Townsend, Matthew J. Colbrook, Qin Li, Ryan V. Raut

arxiv:2308.10697 v3 · 2023-08-21 · math.DS · cs.LG · cs.NA · math.NA · math.SP · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TN3MFECOODJ55JGCLWE4XDNTSA}

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.

Cited by

1 paper in Pith

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems

Receipt and verification

First computed	2026-07-05T07:11:17.983778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b76c2904e70d3dea4c25d89cb8db39029e48c067106d026076a54b842244e28

Aliases

arxiv: 2308.10697 · arxiv_version: 2308.10697v3 · doi: 10.48550/arxiv.2308.10697 · pith_short_12: TN3MFECOODJ5 · pith_short_16: TN3MFECOODJ55JGC · pith_short_8: TN3MFECO

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/TN3MFECOODJ55JGCLWE4XDNTSA \
  | 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: 9b76c2904e70d3dea4c25d89cb8db39029e48c067106d026076a54b842244e28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94a8ad7c9ff9c860dad91fd1f92f41186320775713e6128488c42ccdf08261fa",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.NA",
      "math.SP",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2023-08-21T13:05:12Z",
    "title_canon_sha256": "9c598fbc028350e9b1d0ba0aa754fe8631a6f32aead1edcf69c635569c3517ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.10697",
    "kind": "arxiv",
    "version": 3
  }
}