Pith Number

pith:VC6VZQRS

pith:2016:VC6VZQRS7MDJ3G6RFIGVN55TJR

not attested not anchored not stored refs pending

Convergence of random oscillatory integrals in the presence of long-range dependence and application to homogenization

Atef Lechiheb, Ezedine Haouala, Guangqu Zheng, Ivan Nourdin

arxiv:1607.01166 v2 · 2016-07-05 · 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{VC6VZQRS7MDJ3G6RFIGVN55TJR}

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	2026-05-18T00:03:25.353088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8bd5cc232fb069d9bd12a0d56f7b34c5c25114a28378da77abcf64a20f078eb

Aliases

arxiv: 1607.01166 · arxiv_version: 1607.01166v2 · doi: 10.48550/arxiv.1607.01166 · pith_short_12: VC6VZQRS7MDJ · pith_short_16: VC6VZQRS7MDJ3G6R · pith_short_8: VC6VZQRS

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/VC6VZQRS7MDJ3G6RFIGVN55TJR \
  | 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: a8bd5cc232fb069d9bd12a0d56f7b34c5c25114a28378da77abcf64a20f078eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea52e1e2f19eccac40709a579e438349c0add2fcc599b3a25674d1113a7e8e43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-07-05T09:33:09Z",
    "title_canon_sha256": "84388084f7dd7f6c3ce04f8338af8ff656247949bd319a084f520cce03e5bbb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01166",
    "kind": "arxiv",
    "version": 2
  }
}