Pith Number

pith:KOIKI4YD

pith:2007:KOIKI4YD5B7RWPHOJEIVQNNTN7

not attested not anchored not stored refs pending

Rearranging Edgeworth-Cornish-Fisher Expansions

Alfred Galichon, Ivan Fernandez-Val, Victor Chernozhukov

arxiv:0708.1627 v2 · 2007-08-12 · stat.ME · econ.EM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KOIKI4YD5B7RWPHOJEIVQNNTN7}

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	2026-05-18T00:29:54.222209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5390a47303e87f1b3cee49115835b36fdabbb61f4af20feb875eafb04e5e14c3

Aliases

arxiv: 0708.1627 · arxiv_version: 0708.1627v2 · doi: 10.48550/arxiv.0708.1627 · pith_short_12: KOIKI4YD5B7R · pith_short_16: KOIKI4YD5B7RWPHO · pith_short_8: KOIKI4YD

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/KOIKI4YD5B7RWPHOJEIVQNNTN7 \
  | 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: 5390a47303e87f1b3cee49115835b36fdabbb61f4af20feb875eafb04e5e14c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16082749a01c13a3a569aaa0bd536b35a615fa5ea48398c8a5b6f4d974cae103",
    "cross_cats_sorted": [
      "econ.EM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2007-08-12T22:11:35Z",
    "title_canon_sha256": "61c7c1aa0bc6081a6040e53bfc29923aefd9b90aa080f9eb972be6c866b2bfd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.1627",
    "kind": "arxiv",
    "version": 2
  }
}