Pith Number

pith:S3TJ43RL

pith:2023:S3TJ43RLG2LIY2BX5L77JXXP2U

not attested not anchored not stored refs pending

Horseshoes for a class of nonuniformly expanding random dynamical systems on the circle

Dmitry Turaev, Giuseppe Tenaglia, Jeroen S.W. Lamb

arxiv:2304.03685 v2 · 2023-04-07 · 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{S3TJ43RLG2LIY2BX5L77JXXP2U}

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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.

Cited by

1 paper in Pith

Non uniform expansion and additive noise imply random horseshoe

Receipt and verification

First computed	2026-07-05T08:04:56.958100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96e69e6e2b36968c6837eafff4deefd538afd77feb429b7cedda3e8daad853f4

Aliases

arxiv: 2304.03685 · arxiv_version: 2304.03685v2 · doi: 10.48550/arxiv.2304.03685 · pith_short_12: S3TJ43RLG2LI · pith_short_16: S3TJ43RLG2LIY2BX · pith_short_8: S3TJ43RL

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/S3TJ43RLG2LIY2BX5L77JXXP2U \
  | 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: 96e69e6e2b36968c6837eafff4deefd538afd77feb429b7cedda3e8daad853f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c39307730f57bde9de84bd9a10e21dc1de6a6e56fdc3fecb67269882b8684e78",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2023-04-07T15:11:48Z",
    "title_canon_sha256": "37ead9abea429a1809d46dd27af648e841a22412bd06e30fdb197eca213b0edc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.03685",
    "kind": "arxiv",
    "version": 2
  }
}