Pith Number

pith:RC3TA3LL

pith:2013:RC3TA3LLBGH7XMAXYBI6IYPAPI

not attested not anchored not stored refs pending

On Dynamic Mode Decomposition: Theory and Applications

Clarence W. Rowley, Dirk M. Luchtenburg, J. Nathan Kutz, Jonathan H. Tu, Steven L. Brunton

arxiv:1312.0041 v1 · 2013-11-29 · math.NA · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RC3TA3LLBGH7XMAXYBI6IYPAPI}

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

Frequency-dependent stress response under thermal cycle: A thermal-crystal plasticity and dynamic mode decomposition study

Receipt and verification

First computed	2026-05-18T02:31:12.089764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88b7306d6b098ffbb017c051e461e07a278d5f96396dbb5869af4a38b199865e

Aliases

arxiv: 1312.0041 · arxiv_version: 1312.0041v1 · doi: 10.48550/arxiv.1312.0041 · pith_short_12: RC3TA3LLBGH7 · pith_short_16: RC3TA3LLBGH7XMAX · pith_short_8: RC3TA3LL

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/RC3TA3LLBGH7XMAXYBI6IYPAPI \
  | 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: 88b7306d6b098ffbb017c051e461e07a278d5f96396dbb5869af4a38b199865e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "159bce9fde6099abaa0d89c1946e47c07d968e9a905564c2d7c7fdfbd495662e",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-11-29T23:55:41Z",
    "title_canon_sha256": "38c5d5c7ea7b754ce013d22a2e0356a8905af3ac41171e366681e452633c88af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0041",
    "kind": "arxiv",
    "version": 1
  }
}