Pith Number

pith:B62Z43KO

pith:2006:B62Z43KO47AIO2GDO7UYPU5IX6

not attested not anchored not stored refs pending

A chaotic representation property of the multidimensional Dunkl processes

L\'eonard Gallardo, Marc Yor

arxiv:math/0609679 v1 · 2006-09-25 · 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{B62Z43KO47AIO2GDO7UYPU5IX6}

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	2026-05-18T01:08:49.695099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fb59e6d4ee7c08768c377e987d3a8bfaacf592ec080b1fced3eb8229a430160

Aliases

arxiv: math/0609679 · arxiv_version: math/0609679v1 · doi: 10.48550/arxiv.math/0609679 · pith_short_12: B62Z43KO47AI · pith_short_16: B62Z43KO47AIO2GD · pith_short_8: B62Z43KO

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/B62Z43KO47AIO2GDO7UYPU5IX6 \
  | 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: 0fb59e6d4ee7c08768c377e987d3a8bfaacf592ec080b1fced3eb8229a430160

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "177e551689f537f622738a996d1a23625fddcf2335f35e66b974dc42454c6fa5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-09-25T07:00:49Z",
    "title_canon_sha256": "fcbaab00695ab7927f15d0a2f26315643b2f7f34b1908e9d5d24580f1dba1f63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609679",
    "kind": "arxiv",
    "version": 1
  }
}