Pith Number

pith:XFXPNIUI

pith:2018:XFXPNIUIVII3YTHWDETD7O4H7N

not attested not anchored not stored refs pending

Topology of planar self-affine tiles with collinear digit set

Beno\^it Loridant, J\"org Thuswaldner, Shigeki Akiyama

arxiv:1801.02957 v1 · 2018-01-09 · math.GN · 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{XFXPNIUIVII3YTHWDETD7O4H7N}

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	2026-05-18T00:26:21.920801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b96ef6a288aa11bc4cf619263fbb87fb671563801c900df23d6281d9e978ed4b

Aliases

arxiv: 1801.02957 · arxiv_version: 1801.02957v1 · doi: 10.48550/arxiv.1801.02957 · pith_short_12: XFXPNIUIVII3 · pith_short_16: XFXPNIUIVII3YTHW · pith_short_8: XFXPNIUI

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/XFXPNIUIVII3YTHWDETD7O4H7N \
  | 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: b96ef6a288aa11bc4cf619263fbb87fb671563801c900df23d6281d9e978ed4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6db9e4bf18bdbdbec817092f299b15582d537c4620d4b01e9d05001dde43ede8",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2018-01-09T14:43:41Z",
    "title_canon_sha256": "e3785c15d7bd8f8cf555acfe17b73ca82b08734250fd295d29291e21452b9425"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02957",
    "kind": "arxiv",
    "version": 1
  }
}