Pith Number

pith:UJBMKQSX

pith:2017:UJBMKQSXL72GU6YUEXKIEOSVKA

not attested not anchored not stored refs pending

Decomposition of Nonlinear Dynamical Systems Using Koopman Gramians

Enoch Yeung, Lijun Chen, Soumya Kundu, Zhiyuan Liu

arxiv:1710.01719 v1 · 2017-10-04 · cs.SY · cs.LG · math.DS · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJBMKQSXL72GU6YUEXKIEOSVKA}

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	2026-05-18T00:28:29.582020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a242c542575ff46a7b1425d4823a555008f52da8f90d522bdf8ee282ae8235f5

Aliases

arxiv: 1710.01719 · arxiv_version: 1710.01719v1 · doi: 10.48550/arxiv.1710.01719 · pith_short_12: UJBMKQSXL72G · pith_short_16: UJBMKQSXL72GU6YU · pith_short_8: UJBMKQSX

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/UJBMKQSXL72GU6YUEXKIEOSVKA \
  | 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: a242c542575ff46a7b1425d4823a555008f52da8f90d522bdf8ee282ae8235f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98df9ea9211b079c13ee5a3caa956eace473dc57a3026c9c8783e7f971f2bd01",
    "cross_cats_sorted": [
      "cs.LG",
      "math.DS",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2017-10-04T17:47:39Z",
    "title_canon_sha256": "f0e937864bd585d48200ef18c8fb1645b3285c5c2cc28fc25f481afb011f93bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.01719",
    "kind": "arxiv",
    "version": 1
  }
}