Pith Number

pith:T55VMYOP

pith:2026:T55VMYOPDIATAXXZTB7G4UHE7K

not attested not anchored not stored refs pending

A spectral based coefficient of determination for the fit of an MA(q) model

Holger Dette, Sebastian K\"uhnert

arxiv:2606.18445 v1 · 2026-06-16 · math.ST · stat.ME · 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{T55VMYOPDIATAXXZTB7G4UHE7K}

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	2026-06-19T16:11:01.367348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f7b5661cf1a01305ef9987e6e50e4fa8fedb178b5d690044701faee6b79f52c

Aliases

arxiv: 2606.18445 · arxiv_version: 2606.18445v1 · doi: 10.48550/arxiv.2606.18445 · pith_short_12: T55VMYOPDIAT · pith_short_16: T55VMYOPDIATAXXZ · pith_short_8: T55VMYOP

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/T55VMYOPDIATAXXZTB7G4UHE7K \
  | 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: 9f7b5661cf1a01305ef9987e6e50e4fa8fedb178b5d690044701faee6b79f52c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12f5ae6a4fdca1440c8a1ebeb060fb2589a3048c86511fa2252fb395c0858928",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-06-16T19:53:50Z",
    "title_canon_sha256": "68eb4ca0da10dfb4ed60426b3395c4f95103e61b40addf44b4b2ed73c8c56150"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18445",
    "kind": "arxiv",
    "version": 1
  }
}