Pith Number

pith:DP35LY3Y

pith:2018:DP35LY3YZKHSKL4AWK24VF5U3X

not attested not anchored not stored refs pending

Angels' staircases, Sturmian sequences, and trajectories on homothety surfaces

Joshua Bowman, Slade Sanderson

arxiv:1806.04129 v2 · 2018-06-11 · math.GT · 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{DP35LY3YZKHSKL4AWK24VF5U3X}

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.

Cited by

1 paper in Pith

Dynamics of 2-interval piecewise affine maps and Hecke-Mahler series

Receipt and verification

First computed	2026-05-18T00:07:23.402233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bf7d5e378ca8f252f80b2b5ca97b4dde0af314489d7a4e226746e01edb9eebe

Aliases

arxiv: 1806.04129 · arxiv_version: 1806.04129v2 · doi: 10.48550/arxiv.1806.04129 · pith_short_12: DP35LY3YZKHS · pith_short_16: DP35LY3YZKHSKL4A · pith_short_8: DP35LY3Y

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/DP35LY3YZKHSKL4AWK24VF5U3X \
  | 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: 1bf7d5e378ca8f252f80b2b5ca97b4dde0af314489d7a4e226746e01edb9eebe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa5752ffc0abe959bb0e54b62798105c16a8397af990d5a51ef5e93db524084b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-06-11T17:55:05Z",
    "title_canon_sha256": "ee506c6d96d439be77d637666c14ccf01bb177c1ff2a656a468528954c612322"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.04129",
    "kind": "arxiv",
    "version": 2
  }
}