Pith Number

pith:5P7FCGIG

pith:2009:5P7FCGIGNQITJKY5B4OKHTE27V

not attested not anchored not stored refs pending

A note on Wiener-Hopf factorization for Markov Additive processes

Przemyslaw Klusik, Zbigniew Palmowski

arxiv:0906.1223 v2 · 2009-06-05 · 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{5P7FCGIGNQITJKY5B4OKHTE27V}

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	2026-05-18T04:10:48.463062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebfe5119066c1134ab1d0f1ca3cc9afd58f75d7145fbc7e1e892e4ab75731fad

Aliases

arxiv: 0906.1223 · arxiv_version: 0906.1223v2 · doi: 10.48550/arxiv.0906.1223 · pith_short_12: 5P7FCGIGNQIT · pith_short_16: 5P7FCGIGNQITJKY5 · pith_short_8: 5P7FCGIG

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/5P7FCGIGNQITJKY5B4OKHTE27V \
  | 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: ebfe5119066c1134ab1d0f1ca3cc9afd58f75d7145fbc7e1e892e4ab75731fad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9997e7249232e70427295e423654aa07e6ce011c791cbabf8d89617ba72b4125",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-06-05T22:22:27Z",
    "title_canon_sha256": "9f94ce31b3d39fb24cd2148c80f774755b8a3d1f2903674f32a0ca225c2f4cd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1223",
    "kind": "arxiv",
    "version": 2
  }
}