Pith Number

pith:VPLV5BGE

pith:2018:VPLV5BGE47AAS7W4VQMG2DESIT

not attested not anchored not stored refs pending

Triangle tiling billiards and the exceptional family of their escaping trajectories: circumcenters and Rauzy gasket

Olga Paris-Romaskevich, Pascal Hubert

arxiv:1804.00181 v4 · 2018-03-31 · 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{VPLV5BGE47AAS7W4VQMG2DESIT}

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	2026-05-17T23:54:48.526084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abd75e84c4e7c0097edcac186d0c9244f0007085a8c681b68df951e05bd414a1

Aliases

arxiv: 1804.00181 · arxiv_version: 1804.00181v4 · doi: 10.48550/arxiv.1804.00181 · pith_short_12: VPLV5BGE47AA · pith_short_16: VPLV5BGE47AAS7W4 · pith_short_8: VPLV5BGE

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/VPLV5BGE47AAS7W4VQMG2DESIT \
  | 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: abd75e84c4e7c0097edcac186d0c9244f0007085a8c681b68df951e05bd414a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "745b42e371d3b8e9ee0488cfe277db0be84e1b5e1ac25227e0fd227a920c28eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-03-31T15:11:48Z",
    "title_canon_sha256": "da0a3313afc4a646ab0c7279c4043b2fb26024084565b73d6a8a73b5eb42f50f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.00181",
    "kind": "arxiv",
    "version": 4
  }
}