Pith Number

pith:A3AZKSR3

pith:2026:A3AZKSR37D7GLD6UG3TJPPD7GW

not attested not anchored not stored refs pending

Second-order PACF asymptotics and discrimination between fractional Gaussian noise and $\FARIMA(0,d,0)$

Chunhao Cai

arxiv:2605.31416 v1 · 2026-05-29 · math.ST · math.PR · 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{A3AZKSR37D7GLD6UG3TJPPD7GW}

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	2026-06-01T02:04:04.557539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06c1954a3bf8fe658fd436e697bc7f35be42e423c2c8ff3596cdac2b0e5800a4

Aliases

arxiv: 2605.31416 · arxiv_version: 2605.31416v1 · doi: 10.48550/arxiv.2605.31416 · pith_short_12: A3AZKSR37D7G · pith_short_16: A3AZKSR37D7GLD6U · pith_short_8: A3AZKSR3

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/A3AZKSR37D7GLD6UG3TJPPD7GW \
  | 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: 06c1954a3bf8fe658fd436e697bc7f35be42e423c2c8ff3596cdac2b0e5800a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1306a49a6df24ab476b465c764db1e887a558ddeee15e5ce6f1435afec834342",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-05-29T15:18:02Z",
    "title_canon_sha256": "6e1932f5ca041013279c0279786d314e2e74f1307eb097f0e47761c7cecba1af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.31416",
    "kind": "arxiv",
    "version": 1
  }
}