Pith Number

pith:WFDHQV45

pith:2019:WFDHQV455GRFZZO55VL67BAYKY

not attested not anchored not stored refs pending

Complex Wiener-It\^o Chaos Decomposition Revisited

Yong Chen, Yong Liu

arxiv:1902.09111 v1 · 2019-02-25 · 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{WFDHQV455GRFZZO55VL67BAYKY}

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	2026-05-17T23:52:46.619814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b14678579de9a25ce5dded57ef8418560658e6bece24a785eb4322e29352c260

Aliases

arxiv: 1902.09111 · arxiv_version: 1902.09111v1 · doi: 10.48550/arxiv.1902.09111 · pith_short_12: WFDHQV455GRF · pith_short_16: WFDHQV455GRFZZO5 · pith_short_8: WFDHQV45

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/WFDHQV455GRFZZO55VL67BAYKY \
  | 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: b14678579de9a25ce5dded57ef8418560658e6bece24a785eb4322e29352c260

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a61da15443b6c9a4be7cfcb1705f96c9f936c7585bd6824955b827d6a70396d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-02-25T07:00:48Z",
    "title_canon_sha256": "0a9303bdc7208510fdfd4c926f2a494e4d1fc9b0ff1e062207c36100a8ad3589"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.09111",
    "kind": "arxiv",
    "version": 1
  }
}