Pith Number

pith:QYSJHHTB

pith:2013:QYSJHHTBGYDYLZ4SUPDHOJYLZN

not attested not anchored not stored refs pending

Testing for residual correlation of any order in the autoregressive process

Fr\'ed\'eric Pro\"ia

arxiv:1312.2240 v2 · 2013-12-08 · 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{QYSJHHTBGYDYLZ4SUPDHOJYLZN}

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	2026-05-18T00:48:55.355376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8624939e61360785e792a3c677270bcb587712e484834474f70226b3721ea158

Aliases

arxiv: 1312.2240 · arxiv_version: 1312.2240v2 · doi: 10.48550/arxiv.1312.2240 · pith_short_12: QYSJHHTBGYDY · pith_short_16: QYSJHHTBGYDYLZ4S · pith_short_8: QYSJHHTB

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/QYSJHHTBGYDYLZ4SUPDHOJYLZN \
  | 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: 8624939e61360785e792a3c677270bcb587712e484834474f70226b3721ea158

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1367e0693e2fe098787fa4f79b0f1b5c916383fca24e53f9afca9b6d584b24fa",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-12-08T18:44:57Z",
    "title_canon_sha256": "db5ca266af4637502b643e4f5a641510df49ab49bdcfd053d7ecc64bde421419"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2240",
    "kind": "arxiv",
    "version": 2
  }
}