Pith Number

pith:BQLDYX4N

pith:2015:BQLDYX4NEHSKKTIVO7VSNAJECV

not attested not anchored not stored refs pending

Recurrence and non-ergodicity in generalized wind-tree models

Krzysztof Fr\k{a}czek, Pascal Hubert

arxiv:1506.05884 v1 · 2015-06-19 · math.DS · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BQLDYX4NEHSKKTIVO7VSNAJECV}

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	2026-05-18T01:42:47.010724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c163c5f8d21e4a54d1577eb268124154f01c0a8ab7027eab921acdcefc6ee7b

Aliases

arxiv: 1506.05884 · arxiv_version: 1506.05884v1 · doi: 10.48550/arxiv.1506.05884 · pith_short_12: BQLDYX4NEHSK · pith_short_16: BQLDYX4NEHSKKTIV · pith_short_8: BQLDYX4N

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/BQLDYX4NEHSKKTIVO7VSNAJECV \
  | 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: 0c163c5f8d21e4a54d1577eb268124154f01c0a8ab7027eab921acdcefc6ee7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ce8fc873c93d22f8acb58f6710ff45da979e4574f3eef2708b1902e187f9da6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-06-19T06:28:01Z",
    "title_canon_sha256": "ff2c2032439bcc934d20ba66e5634234a95ae21c18976dd2e125852f2a1ea938"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05884",
    "kind": "arxiv",
    "version": 1
  }
}