Pith Number

pith:624T42E3

pith:2015:624T42E3QFCCAJZBLZ4WTMFDBT

not attested not anchored not stored refs pending

Exponential decay rate of partial autocorrelation coefficients of ARMA and short-memory processes

Akimichi Takemura

arxiv:1511.07091 v2 · 2015-11-23 · math.ST · stat.TH

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{624T42E3QFCCAJZBLZ4WTMFDBT}

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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	2026-05-18T01:21:11.138430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6b93e689b81442027215e7969b0a30cdae49f28c93b6a038d47011cb2505994

Aliases

arxiv: 1511.07091 · arxiv_version: 1511.07091v2 · doi: 10.48550/arxiv.1511.07091 · pith_short_12: 624T42E3QFCC · pith_short_16: 624T42E3QFCCAJZB · pith_short_8: 624T42E3

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/624T42E3QFCCAJZBLZ4WTMFDBT \
  | 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: f6b93e689b81442027215e7969b0a30cdae49f28c93b6a038d47011cb2505994

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a36c691cbc4118641df94ab3f52d02eeb7d6c5e5fd2ff9206eafe34cb7638502",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-11-23T01:16:30Z",
    "title_canon_sha256": "6a4da6a0d2460fe5b170fa6fff465d83956d658096bce9dd4d29c3554e6e91a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07091",
    "kind": "arxiv",
    "version": 2
  }
}