Pith Number

pith:EOR5DEGE

pith:2012:EOR5DEGECQELOHCVXWXFSBJIR2

not attested not anchored not stored refs pending

Long run behaviour of the autocovariance function of ARCH($\infty$) models

John A. Daniels, John A. D. Appleby

arxiv:1202.5440 v1 · 2012-02-24 · math.CA · math.DS · 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{EOR5DEGECQELOHCVXWXFSBJIR2}

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	2026-05-18T04:01:37.155466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23a3d190c41408b71c55bdae5905288e88362cd1ca223068be8afc9cd8ce5d64

Aliases

arxiv: 1202.5440 · arxiv_version: 1202.5440v1 · doi: 10.48550/arxiv.1202.5440 · pith_short_12: EOR5DEGECQEL · pith_short_16: EOR5DEGECQELOHCV · pith_short_8: EOR5DEGE

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/EOR5DEGECQELOHCVXWXFSBJIR2 \
  | 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: 23a3d190c41408b71c55bdae5905288e88362cd1ca223068be8afc9cd8ce5d64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61e191e5bdd6adf78b2abb988f9a6dac517731191706ffaf0ac51a04783d0f94",
    "cross_cats_sorted": [
      "math.DS",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-02-24T13:08:53Z",
    "title_canon_sha256": "ce3d265fec47f1bc9964206601245a706b441cf563afe8311b0937ed101b5f6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5440",
    "kind": "arxiv",
    "version": 1
  }
}