Pith Number

pith:JM2PGE2M

pith:2011:JM2PGE2MQYKX3H4QNC5HPIM6QK

not attested not anchored not stored refs pending

Empirical process of residuals for regression models with long memory errors

Pawel Lorek, Rafal Kulik

arxiv:1102.4368 v1 · 2011-02-21 · 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{JM2PGE2MQYKX3H4QNC5HPIM6QK}

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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	2026-05-18T04:28:09.131438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b34f3134c86157d9f9068ba77a19e82b9a83effa5bc7610ff02f25a84b32938

Aliases

arxiv: 1102.4368 · arxiv_version: 1102.4368v1 · doi: 10.48550/arxiv.1102.4368 · pith_short_12: JM2PGE2MQYKX · pith_short_16: JM2PGE2MQYKX3H4Q · pith_short_8: JM2PGE2M

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/JM2PGE2MQYKX3H4QNC5HPIM6QK \
  | 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: 4b34f3134c86157d9f9068ba77a19e82b9a83effa5bc7610ff02f25a84b32938

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7c5b8805037d2ebb89569407463c9698e74d8d33cecc0babc72b6d108be6458",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-02-21T23:37:06Z",
    "title_canon_sha256": "4bd1f4dbeb8ff931da19386a2626e90e45a83e9df76d9795f40a2bd9fde8a568"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4368",
    "kind": "arxiv",
    "version": 1
  }
}