Pith Number

pith:3D45PENC

pith:2014:3D45PENCC5O7WAZCFV6ORWF4RC

not attested not anchored not stored refs pending

An invariance principle for stationary random fields under Hannan's condition

Dalibor Voln\'y, Yizao Wang

arxiv:1403.4613 v3 · 2014-03-18 · math.PR · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3D45PENCC5O7WAZCFV6ORWF4RC}

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	2026-05-18T02:47:31.263231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8f9d791a2175dfb03222d7ce8d8bc888108196f70eb10873ae839e995bf1e45

Aliases

arxiv: 1403.4613 · arxiv_version: 1403.4613v3 · doi: 10.48550/arxiv.1403.4613 · pith_short_12: 3D45PENCC5O7 · pith_short_16: 3D45PENCC5O7WAZC · pith_short_8: 3D45PENC

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/3D45PENCC5O7WAZCFV6ORWF4RC \
  | 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: d8f9d791a2175dfb03222d7ce8d8bc888108196f70eb10873ae839e995bf1e45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5fc160a74152585db37b662dcc4b8d16973c91de1ebdb03a1d565e5caae196c",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-03-18T20:10:20Z",
    "title_canon_sha256": "2137106e86922d467bb4831b8924f24dda8498f5b605f2238e8c7c2033759f10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.4613",
    "kind": "arxiv",
    "version": 3
  }
}