Pith Number

pith:UPZ5QHRO

pith:2012:UPZ5QHROJWGC4DQBSRGIPLTFPQ

not attested not anchored not stored refs pending

The CUSUM test for detecting structural changes in strong mixing processes

Fatemeh Azizzadeh, Saeid Rezakhah

arxiv:1203.0097 v1 · 2012-03-01 · 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{UPZ5QHROJWGC4DQBSRGIPLTFPQ}

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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	2026-05-18T04:01:03.183848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3f3d81e2e4d8c2e0e01944c87ae657c096aa95d1d27620dcbbdd2df2be51d4c

Aliases

arxiv: 1203.0097 · arxiv_version: 1203.0097v1 · doi: 10.48550/arxiv.1203.0097 · pith_short_12: UPZ5QHROJWGC · pith_short_16: UPZ5QHROJWGC4DQB · pith_short_8: UPZ5QHRO

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/UPZ5QHROJWGC4DQBSRGIPLTFPQ \
  | 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: a3f3d81e2e4d8c2e0e01944c87ae657c096aa95d1d27620dcbbdd2df2be51d4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47fcf5e70f7a8e0cbc4e05b094f04d114e8ff5d7ee4b10c211826e21c740c69c",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-03-01T05:49:51Z",
    "title_canon_sha256": "3b006ce67ebe943a4e6e3b114aab1b68a5e132989c0f588e5cae22b6ecc1506c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0097",
    "kind": "arxiv",
    "version": 1
  }
}