Pith Number

pith:OXTI6FDL

pith:2017:OXTI6FDLQ3EMGODDA73NM5GPRG

not attested not anchored not stored refs pending

Componentwise different tail solutions for bivariate stochastic recurrence equations -- with application to GARCH(1,1) processes --

Ewa Damek, Muneya Matsui, Witold \'Swi\k{a}tkowski

arxiv:1706.05800 v1 · 2017-06-19 · math.PR · math.ST · stat.TH

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OXTI6FDLQ3EMGODDA73NM5GPRG}

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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	2026-05-18T00:42:08.857274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75e68f146b86c8c3386307f6d674cf89b9675cc83850a1da4658f9d97f98b6c9

Aliases

arxiv: 1706.05800 · arxiv_version: 1706.05800v1 · doi: 10.48550/arxiv.1706.05800 · pith_short_12: OXTI6FDLQ3EM · pith_short_16: OXTI6FDLQ3EMGODD · pith_short_8: OXTI6FDL

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/OXTI6FDLQ3EMGODDA73NM5GPRG \
  | 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: 75e68f146b86c8c3386307f6d674cf89b9675cc83850a1da4658f9d97f98b6c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "863f2a86cac577d404511a109d6f1b145f653a50200cee975fcdf46498d85aa6",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-06-19T06:35:00Z",
    "title_canon_sha256": "e102f74e807197687756860588c3ddae8efa50d82ae59b85b2d3687b2a798209"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05800",
    "kind": "arxiv",
    "version": 1
  }
}