Pith Number

pith:OU23K7AY

pith:2017:OU23K7AYQJ4WEM3UXHEG7XQLGW

not attested not anchored not stored refs pending

Recurrence determinism and Li-Yorke chaos for interval maps

Vladim\'ir \v{S}pitalsk\'y

arxiv:1712.03023 v1 · 2017-12-08 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OU23K7AYQJ4WEM3UXHEG7XQLGW}

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	2026-05-18T00:28:28.554755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7535b57c188279623374b9c86fde0b35aa85faf621c0232cbb34b9dd2797cdfc

Aliases

arxiv: 1712.03023 · arxiv_version: 1712.03023v1 · doi: 10.48550/arxiv.1712.03023 · pith_short_12: OU23K7AYQJ4W · pith_short_16: OU23K7AYQJ4WEM3U · pith_short_8: OU23K7AY

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/OU23K7AYQJ4WEM3UXHEG7XQLGW \
  | 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: 7535b57c188279623374b9c86fde0b35aa85faf621c0232cbb34b9dd2797cdfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce9cccf2c6d7d739c8e657122304e2d3ed5413fdde83db4b82d0892bccf6d046",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-12-08T11:04:13Z",
    "title_canon_sha256": "cac5832856510e95916d18fbf0d887e7b3ac456f060657e6d3b2396a6997c02d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03023",
    "kind": "arxiv",
    "version": 1
  }
}