Pith Number

pith:5ZL6KTT5

pith:2021:5ZL6KTT5CVEO3JEWRMDRXIVWMU

not attested not anchored not stored refs pending

Finite-time Koopman Identifier: A Unified Batch-online Learning Framework for Joint Learning of Koopman Structure and Parameters

Hamidreza Modares, Majid Mazouchi, Subramanya Nageshrao

arxiv:2105.05903 v3 · 2021-05-12 · eess.SY · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ZL6KTT5CVEO3JEWRMDRXIVWMU}

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	2026-07-05T05:28:41.893943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee57e54e7d1548eda4968b071ba2b6651988894c7c2f99d77b8e74db68afbe2b

Aliases

arxiv: 2105.05903 · arxiv_version: 2105.05903v3 · doi: 10.48550/arxiv.2105.05903 · pith_short_12: 5ZL6KTT5CVEO · pith_short_16: 5ZL6KTT5CVEO3JEW · pith_short_8: 5ZL6KTT5

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/5ZL6KTT5CVEO3JEWRMDRXIVWMU \
  | 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: ee57e54e7d1548eda4968b071ba2b6651988894c7c2f99d77b8e74db68afbe2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fe62d43e78b0c76b31e03245957d72eea5a17a013280e7c1400f82b4b8fda70",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2021-05-12T18:45:58Z",
    "title_canon_sha256": "3e6df1d4de8bf2ca13582fa87af6086c73563efec7ad419c237c7a0b7a459f95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.05903",
    "kind": "arxiv",
    "version": 3
  }
}