Pith Number

pith:ZCIHPUY6

pith:2018:ZCIHPUY6OM53VIKWPAZLYHNXPL

not attested not anchored not stored refs pending

Recurrence quantification analysis of the period-doubling sequence

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

arxiv:1807.09096 v1 · 2018-07-24 · 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{ZCIHPUY6OM53VIKWPAZLYHNXPL}

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	2026-05-17T23:55:20.261443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c89077d31e733bbaa1567832bc1db77aebdf80029fc064dcfd37cabf0d56f233

Aliases

arxiv: 1807.09096 · arxiv_version: 1807.09096v1 · doi: 10.48550/arxiv.1807.09096 · pith_short_12: ZCIHPUY6OM53 · pith_short_16: ZCIHPUY6OM53VIKW · pith_short_8: ZCIHPUY6

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/ZCIHPUY6OM53VIKWPAZLYHNXPL \
  | 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: c89077d31e733bbaa1567832bc1db77aebdf80029fc064dcfd37cabf0d56f233

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bc07f2f37fac98ca19d23ce5b822567d82f1deee14927a48a7a70771b8ca83c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-07-24T13:24:11Z",
    "title_canon_sha256": "7647de3345a243550a2677eef9fa024e17d2e4610521819b8fdfc4772c245dbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.09096",
    "kind": "arxiv",
    "version": 1
  }
}