Pith Number

pith:LJ434LWF

pith:2025:LJ434LWFFEZJW6QE6SNCA5XNU4

not attested not anchored not stored refs pending

Probability laws associated to the independence preserving quadrirational Yang-Baxter maps -- the ultimate case

Bartosz Ko{\l}odziejek, G\'erard Letac, Jacek Weso{\l}owski, Mauro Piccioni

arxiv:2501.17007 v3 · 2025-01-28 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LJ434LWFFEZJW6QE6SNCA5XNU4}

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	2026-06-09T02:08:28.441858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a79be2ec529329b7a04f49a2076eda711d69760a73b718afa976272af519135

Aliases

arxiv: 2501.17007 · arxiv_version: 2501.17007v3 · doi: 10.48550/arxiv.2501.17007 · pith_short_12: LJ434LWFFEZJ · pith_short_16: LJ434LWFFEZJW6QE · pith_short_8: LJ434LWF

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/LJ434LWFFEZJW6QE6SNCA5XNU4 \
  | 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: 5a79be2ec529329b7a04f49a2076eda711d69760a73b718afa976272af519135

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9aec42dcb85ab9ca1666d80b4f4d626136ebc5b0094b307d198df1c9b63b590e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-01-28T15:03:53Z",
    "title_canon_sha256": "5a5a20c6804a208f0e1a19f89a566f48eb3ef6667ecee069b51b3d2cf0f0f2fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.17007",
    "kind": "arxiv",
    "version": 3
  }
}