Pith Number

pith:N6ZMZVF6

pith:2008:N6ZMZVF6KXPHAHVSVSYQCCC45K

not attested not anchored not stored refs pending

Skew-product representations of multidimensional Dunkl Markov processes

Oleksandr Chybiryakov

arxiv:0808.3033 v1 · 2008-08-22 · 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{N6ZMZVF6KXPHAHVSVSYQCCC45K}

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.

Cited by

1 paper in Pith

The Rectangular Finite Free Heat Flow

Receipt and verification

First computed	2026-07-04T15:13:46.785151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fb2ccd4be55de701eb2acb101085ceab237988b6a28eddc1fdaa8348517181e

Aliases

arxiv: 0808.3033 · arxiv_version: 0808.3033v1 · doi: 10.48550/arxiv.0808.3033 · pith_short_12: N6ZMZVF6KXPH · pith_short_16: N6ZMZVF6KXPHAHVS · pith_short_8: N6ZMZVF6

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/N6ZMZVF6KXPHAHVSVSYQCCC45K \
  | 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: 6fb2ccd4be55de701eb2acb101085ceab237988b6a28eddc1fdaa8348517181e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2d4577e34c99165f9a7f45112c8bd9f335778f59468dce4e7e9ab8c56b7ee60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-08-22T06:10:03Z",
    "title_canon_sha256": "3232c5782961c56482f8ef0a246ab126f1b372e4e06393be5b1b16f52db72578"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.3033",
    "kind": "arxiv",
    "version": 1
  }
}