Pith Number

pith:3IXKPCAS

pith:2013:3IXKPCAS6D5OJYNSZA5TPWJR2J

not attested not anchored not stored refs pending

Entropy for A-coupled-expanding Maps and Chaos

Chol-Gyun Ri, Hyon-Hui Ju, Xiaoqun Wu

arxiv:1309.6769 v2 · 2013-09-26 · math.DS · 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{3IXKPCAS6D5OJYNSZA5TPWJR2J}

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	2026-05-18T03:11:58.990295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da2ea78812f0fae4e1b2c83b37d931d278cae0cf6e4189a5f5c729a51e46f7c0

Aliases

arxiv: 1309.6769 · arxiv_version: 1309.6769v2 · doi: 10.48550/arxiv.1309.6769 · pith_short_12: 3IXKPCAS6D5O · pith_short_16: 3IXKPCAS6D5OJYNS · pith_short_8: 3IXKPCAS

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/3IXKPCAS6D5OJYNSZA5TPWJR2J \
  | 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: da2ea78812f0fae4e1b2c83b37d931d278cae0cf6e4189a5f5c729a51e46f7c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19786b6e7fb71189cda18497483b08bf17411404d07adc0d7a60e126e550c2c8",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-09-26T09:27:05Z",
    "title_canon_sha256": "afc63d1b48ff5430562f4cf62a19e20d887e6c3234fde5c62626fd32bde934e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6769",
    "kind": "arxiv",
    "version": 2
  }
}