Pith Number

pith:GWXDHPSP

pith:2015:GWXDHPSPICBGQAY6XYCMMRVQHX

not attested not anchored not stored refs pending

A Widely Linear Complex Autoregressive Process of Order One

Adam M. Sykulski, Jonathan M. Lilly, Sofia C. Olhede

arxiv:1511.04128 v3 · 2015-11-12 · stat.ME · 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{GWXDHPSPICBGQAY6XYCMMRVQHX}

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	2026-05-18T00:48:43.082922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35ae33be4f408268031ebe04c646b03df8a0d654250ef1e6e8eeb286885cd822

Aliases

arxiv: 1511.04128 · arxiv_version: 1511.04128v3 · doi: 10.48550/arxiv.1511.04128 · pith_short_12: GWXDHPSPICBG · pith_short_16: GWXDHPSPICBGQAY6 · pith_short_8: GWXDHPSP

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/GWXDHPSPICBGQAY6XYCMMRVQHX \
  | 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: 35ae33be4f408268031ebe04c646b03df8a0d654250ef1e6e8eeb286885cd822

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "523c2745f0b119b34f7ae3337895e40d3b871a16c3cd4f1fad53fc50820afea6",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2015-11-12T23:44:04Z",
    "title_canon_sha256": "0a1b16ea234d895c673ceeef8342bdc3dae3f71aa8322c1929aa247cd09e900d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04128",
    "kind": "arxiv",
    "version": 3
  }
}