Pith Number

pith:WDTQMQYZ

pith:2013:WDTQMQYZGYSRJDXGYYFIE5GMGD

not attested not anchored not stored refs pending

Convergence in $L_p([0,T])$ of wavelet expansions of $\varphi$-sub-Gaussian random processes

Actuarial Mathematics, Andriy Olenko (2), Australia (3) Department of Economic Cybernetics, Kyiv, Kyiv University, La Trobe University, Olga Polosmak (3) ((1) Department of Probability Theory, Statistics, Ukraine), Ukraine (2) Department of Mathematics, Victoria, Yuriy Kozachenko (1)

arxiv:1307.1859 v1 · 2013-07-07 · 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{WDTQMQYZGYSRJDXGYYFIE5GMGD}

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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	2026-05-18T03:16:39.993042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0e70643193625148ee6c60a8274cc30f0466fb230095682aaa777c4422f53c9

Aliases

arxiv: 1307.1859 · arxiv_version: 1307.1859v1 · doi: 10.48550/arxiv.1307.1859 · pith_short_12: WDTQMQYZGYSR · pith_short_16: WDTQMQYZGYSRJDXG · pith_short_8: WDTQMQYZ

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/WDTQMQYZGYSRJDXGYYFIE5GMGD \
  | 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: b0e70643193625148ee6c60a8274cc30f0466fb230095682aaa777c4422f53c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15aa2a82a7b3744db00376aacb429d1ed23d29d1ab8d2c3562da75747fb51c29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-07T12:20:42Z",
    "title_canon_sha256": "ef581bc1b23c6d81983da3ca15ba84dccc9a16cbaa5415f6968a2f41457b24a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1859",
    "kind": "arxiv",
    "version": 1
  }
}