Pith Number

pith:LTSVVI2J

pith:2015:LTSVVI2J6V3BC7YDSGD5JE5MO4

not attested not anchored not stored refs pending

On the numerical approximation of the Perron-Frobenius and Koopman operator

Christof Sch\"utte, P\'eter Koltai, Stefan Klus

arxiv:1512.05997 v3 · 2015-12-18 · math.DS · math.NA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LTSVVI2J6V3BC7YDSGD5JE5MO4}

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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

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Receipt and verification

First computed	2026-05-18T01:01:44.735846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ce55aa349f576117f039187d493ac772999f30ec3d3f939d0c70b79ab764937

Aliases

arxiv: 1512.05997 · arxiv_version: 1512.05997v3 · doi: 10.48550/arxiv.1512.05997 · pith_short_12: LTSVVI2J6V3B · pith_short_16: LTSVVI2J6V3BC7YD · pith_short_8: LTSVVI2J

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/LTSVVI2J6V3BC7YDSGD5JE5MO4 \
  | 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: 5ce55aa349f576117f039187d493ac772999f30ec3d3f939d0c70b79ab764937

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed837bbe556480fb4ae571d1339c518f1b83f758127cb61e31e8e23f4b4239b3",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-12-18T15:43:07Z",
    "title_canon_sha256": "110edcfd12545b58d644ab8547c17ca5c5317c3ebbebce401257dba75c62ee55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05997",
    "kind": "arxiv",
    "version": 3
  }
}