Pith Number

pith:FRINR562

pith:2017:FRINR562OIHABAW6URZ4CQDU5W

not attested not anchored not stored refs pending

Extended dynamic mode decomposition with dictionary learning: a data-driven adaptive spectral decomposition of the Koopman operator

Erik M. Bollt, Felix Dietrich, Ioannis G. Kevrekidis, Qianxiao Li

arxiv:1707.00225 v1 · 2017-07-02 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FRINR562OIHABAW6URZ4CQDU5W}

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	2026-05-18T00:32:08.938017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c50d8f7da720e0082dea473c14074ed924ff30cbb9b205a0ad7ac0319e35441

Aliases

arxiv: 1707.00225 · arxiv_version: 1707.00225v1 · doi: 10.48550/arxiv.1707.00225 · pith_short_12: FRINR562OIHA · pith_short_16: FRINR562OIHABAW6 · pith_short_8: FRINR562

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/FRINR562OIHABAW6URZ4CQDU5W \
  | 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: 2c50d8f7da720e0082dea473c14074ed924ff30cbb9b205a0ad7ac0319e35441

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4cf54d0948a031788a35187b06741ff8d2f1b4dc7b75b5a16e37c73fbda66ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-07-02T01:38:45Z",
    "title_canon_sha256": "6da6eb118ced101684888708e63a5fd6f93c02c0bd20aef601ce001f17099d19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.00225",
    "kind": "arxiv",
    "version": 1
  }
}