Pith Number

pith:NRC4EAGU

pith:2007:NRC4EAGUAPKXC2FD22IWNRX2Z7

not attested not anchored not stored refs pending

Semiparametric estimation of fractional cointegrating subspaces

Clifford M. Hurvich, Willa W. Chen

arxiv:0708.0185 v1 · 2007-08-01 · 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{NRC4EAGUAPKXC2FD22IWNRX2Z7}

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	2026-05-18T04:09:15.201734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c45c200d403d57168a3d69166c6facfd6d969857b012693e6574cf3cf577f6e

Aliases

arxiv: 0708.0185 · arxiv_version: 0708.0185v1 · doi: 10.48550/arxiv.0708.0185 · pith_short_12: NRC4EAGUAPKX · pith_short_16: NRC4EAGUAPKXC2FD · pith_short_8: NRC4EAGU

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/NRC4EAGUAPKXC2FD22IWNRX2Z7 \
  | 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: 6c45c200d403d57168a3d69166c6facfd6d969857b012693e6574cf3cf577f6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7533795628f72570e7bac77b5b97dc4696cc0fd5b179672e0a88fb253991663",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.ST",
    "submitted_at": "2007-08-01T16:02:40Z",
    "title_canon_sha256": "3373989cf9a05b791b5278823b8d9c193411b3885e841f125e16f912b902eed1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.0185",
    "kind": "arxiv",
    "version": 1
  }
}