Pith Number

pith:GEU5QI5O

pith:2017:GEU5QI5O2YYZFSQJFAM66NUBK6

not attested not anchored not stored refs pending

Maps on statistical manifolds exactly reduced from the Perron-Frobenius equations for solvable chaotic maps

Ken Umeno, Shin-itiro Goto

arxiv:1707.03607 v3 · 2017-07-12 · math-ph · math.MP · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GEU5QI5O2YYZFSQJFAM66NUBK6}

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	2026-05-18T00:18:19.871111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3129d823aed63192ca092819ef368157ac18094ac12acccc6bb8299a73b3beb9

Aliases

arxiv: 1707.03607 · arxiv_version: 1707.03607v3 · doi: 10.48550/arxiv.1707.03607 · pith_short_12: GEU5QI5O2YYZ · pith_short_16: GEU5QI5O2YYZFSQJ · pith_short_8: GEU5QI5O

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/GEU5QI5O2YYZFSQJFAM66NUBK6 \
  | 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: 3129d823aed63192ca092819ef368157ac18094ac12acccc6bb8299a73b3beb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d80a09ea71aa430f82fbf88dcc00222451a8f6202bd0b6d0f63c09d3482a027",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-07-12T09:07:10Z",
    "title_canon_sha256": "9b0f1565ab7ff64a62d683587c4a1c170cc9fdfca3b009143f8d4aa6d23397dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03607",
    "kind": "arxiv",
    "version": 3
  }
}