Pith Number

pith:GKZ2PTVD

pith:2015:GKZ2PTVDV2TFLHA6CG46O6C62Q

not attested not anchored not stored refs pending

Towards tensor-based methods for the numerical approximation of the Perron-Frobenius and Koopman operator

Christof Sch\"utte, Stefan Klus

arxiv:1512.06527 v2 · 2015-12-21 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GKZ2PTVDV2TFLHA6CG46O6C62Q}

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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.

Receipt and verification

First computed	2026-05-18T00:52:29.416458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32b3a7cea3aea6559c1e11b9e7785ed42986835b601aeca5e2b33572090a5726

Aliases

arxiv: 1512.06527 · arxiv_version: 1512.06527v2 · doi: 10.48550/arxiv.1512.06527 · pith_short_12: GKZ2PTVDV2TF · pith_short_16: GKZ2PTVDV2TFLHA6 · pith_short_8: GKZ2PTVD

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/GKZ2PTVDV2TFLHA6CG46O6C62Q \
  | 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: 32b3a7cea3aea6559c1e11b9e7785ed42986835b601aeca5e2b33572090a5726

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3226b413e2bbadb6cb124154a087ee75b14fa686962113ee075945ddb0c7f4ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-12-21T08:47:26Z",
    "title_canon_sha256": "2f30fd5a40487e78769cf8354e6c564e77e758b09f4f8cd26cd3ee26f79d05eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06527",
    "kind": "arxiv",
    "version": 2
  }
}