Pith Number

pith:CKQKCPFP

pith:2006:CKQKCPFPV6EZKOKTXOHZQDJQ57

not attested not anchored not stored refs pending

Adaptive density estimation for general ARCH models

Fabienne Comte (MAP5), J\'er\^ome Dedecker (LSTA), Marie-Luce Taupin (LM-Orsay)

arxiv:math/0609745 v1 · 2006-09-27 · 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{CKQKCPFPV6EZKOKTXOHZQDJQ57}

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	2026-05-18T01:08:49.680146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12a0a13cafaf89953953bb8f980d30efed0b80ffef4c41d35de71e70f6582052

Aliases

arxiv: math/0609745 · arxiv_version: math/0609745v1 · doi: 10.48550/arxiv.math/0609745 · pith_short_12: CKQKCPFPV6EZ · pith_short_16: CKQKCPFPV6EZKOKT · pith_short_8: CKQKCPFP

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/CKQKCPFPV6EZKOKTXOHZQDJQ57 \
  | 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: 12a0a13cafaf89953953bb8f980d30efed0b80ffef4c41d35de71e70f6582052

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "680fdac49cdfb669ce3bd93a87b62b9455811d435212befa2867d19248ec55c7",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.ST",
    "submitted_at": "2006-09-27T08:38:33Z",
    "title_canon_sha256": "797ae6123e6a9b96f4913351874948be796fbfb8fb76a53d5b94c0c6adc51c7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609745",
    "kind": "arxiv",
    "version": 1
  }
}