Pith Number

pith:5CTL4ZRN

pith:2025:5CTL4ZRNDEBZV24Y7RADE2NOLO

not attested not anchored not stored refs pending

Analysis of Multiple Long-Run Relations in Panel Data Models

Alexander Chudik, M. Hashem Pesaran, Ron P. Smith

arxiv:2506.02135 v3 · 2025-06-02 · 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{5CTL4ZRNDEBZV24Y7RADE2NOLO}

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	2026-07-05T12:09:44.532831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8a6be662d19039aeb98fc403269ae5ba7718d280c89cc0fb734c49985ce07aa

Aliases

arxiv: 2506.02135 · arxiv_version: 2506.02135v3 · doi: 10.48550/arxiv.2506.02135 · pith_short_12: 5CTL4ZRNDEBZ · pith_short_16: 5CTL4ZRNDEBZV24Y · pith_short_8: 5CTL4ZRN

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/5CTL4ZRNDEBZV24Y7RADE2NOLO \
  | 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: e8a6be662d19039aeb98fc403269ae5ba7718d280c89cc0fb734c49985ce07aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b93e6b524e386b35420b91e9e67723141fca947ffbcb2e2318ff00210df0be74",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "econ.EM",
    "submitted_at": "2025-06-02T18:06:23Z",
    "title_canon_sha256": "87f70f8a496c64da1abb160b1d7d9e5a559e7956a416899bed0d2dfb76ad4d27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02135",
    "kind": "arxiv",
    "version": 3
  }
}