Pith Number

pith:367PZU6D

pith:2023:367PZU6DG2GD3PSGQDQA532KV2

not attested not anchored not stored refs pending

The necessity of the sausage-string structure for mode-locking regions of piecewise-linear maps

David J.W. Simpson

arxiv:2312.03887 v1 · 2023-12-06 · 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{367PZU6DG2GD3PSGQDQA532KV2}

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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

Piecewise linear circle maps and conjugation to rigid rational rotations

Receipt and verification

First computed	2026-07-05T07:21:16.127775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfbefcd3c3368c3dbe4680e00eef4aaeab2683cdf72dd353195485c1a6bc0d22

Aliases

arxiv: 2312.03887 · arxiv_version: 2312.03887v1 · doi: 10.48550/arxiv.2312.03887 · pith_short_12: 367PZU6DG2GD · pith_short_16: 367PZU6DG2GD3PSG · pith_short_8: 367PZU6D

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/367PZU6DG2GD3PSGQDQA532KV2 \
  | 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: dfbefcd3c3368c3dbe4680e00eef4aaeab2683cdf72dd353195485c1a6bc0d22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7174f85a2b0c06606a1919044dabe1c09b1e8f4ff2d0ee8aba4a0bff9460c04",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2023-12-06T20:25:23Z",
    "title_canon_sha256": "98117c3375d4b251fce447c8c7d3ed09d5f2874258545ac4a0b0cc2fd5f2be80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.03887",
    "kind": "arxiv",
    "version": 1
  }
}