Pith Number

pith:2PIW3KAE

pith:2017:2PIW3KAE2WNR36H3R5ZIZ6K4GA

not attested not anchored not stored refs pending

Ergodicity of skew products over linearly recurrent IETs

Donald Robertson, Jon Chaika

arxiv:1709.01575 v2 · 2017-09-05 · 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{2PIW3KAE2WNR36H3R5ZIZ6K4GA}

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	2026-05-17T23:53:33.820088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3d16da804d59b1df8fb8f728cf95c302a19c83cc6a92f7b28557778ac384091

Aliases

arxiv: 1709.01575 · arxiv_version: 1709.01575v2 · doi: 10.48550/arxiv.1709.01575 · pith_short_12: 2PIW3KAE2WNR · pith_short_16: 2PIW3KAE2WNR36H3 · pith_short_8: 2PIW3KAE

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/2PIW3KAE2WNR36H3R5ZIZ6K4GA \
  | 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: d3d16da804d59b1df8fb8f728cf95c302a19c83cc6a92f7b28557778ac384091

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89cd99e063d3c47b7bf6d1d1ee5cfc5e4ac411632e9602e8e722e0be086a63d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-09-05T19:57:55Z",
    "title_canon_sha256": "4924b1ce3b1e28e758e05e00f7c668b6bba5d184cc49cd83cb82ed66e080e0bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.01575",
    "kind": "arxiv",
    "version": 2
  }
}