Pith Number

pith:HEU6JV3G

pith:2018:HEU6JV3GNZGQPABUDI4S6S2PSD

not attested not anchored not stored refs pending

Metric on Nonlinear Dynamical Systems with Perron-Frobenius Operators

Isao Ishikawa, Keisuke Fujii, Masahiro Ikeda, Yoshinobu Kawahara, Yuka Hashimoto

arxiv:1805.12324 v2 · 2018-05-31 · stat.ML · cs.LG · math.DS · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HEU6JV3GNZGQPABUDI4S6S2PSD}

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	2026-05-18T00:01:53.184078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3929e4d7666e4d0780341a392f4b4f90d00c682deafa74903737464bf9e5880f

Aliases

arxiv: 1805.12324 · arxiv_version: 1805.12324v2 · doi: 10.48550/arxiv.1805.12324 · pith_short_12: HEU6JV3GNZGQ · pith_short_16: HEU6JV3GNZGQPABU · pith_short_8: HEU6JV3G

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/HEU6JV3GNZGQPABUDI4S6S2PSD \
  | 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: 3929e4d7666e4d0780341a392f4b4f90d00c682deafa74903737464bf9e5880f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bd4f2c2382f0df6792d2fc54de49dcb6a953b73fed8722c4442defdcb6fe34e",
    "cross_cats_sorted": [
      "cs.LG",
      "math.DS",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2018-05-31T05:45:41Z",
    "title_canon_sha256": "9bf007cdefbeaf2dc39df51c28d62ba0235d398fd2ac899c06baa0915c827ab0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.12324",
    "kind": "arxiv",
    "version": 2
  }
}