Pith Number

pith:WWGYLG72

pith:2025:WWGYLG72XWA4HHFCF7W55R2ESA

not attested not anchored not stored refs pending

Local Projections or VARs? A Primer for Macroeconomists

Christian K. Wolf, Eric Qian, Jos\'e Luis Montiel Olea, Mikkel Plagborg-M{\o}ller

arxiv:2503.17144 v2 · 2025-03-21 · 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{WWGYLG72XWA4HHFCF7W55R2ESA}

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	2026-07-05T11:08:18.240138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b58d859bfabd81c39ca22feddec7449009429d4ca72a27b6d85defdb215d170a

Aliases

arxiv: 2503.17144 · arxiv_version: 2503.17144v2 · doi: 10.48550/arxiv.2503.17144 · pith_short_12: WWGYLG72XWA4 · pith_short_16: WWGYLG72XWA4HHFC · pith_short_8: WWGYLG72

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/WWGYLG72XWA4HHFCF7W55R2ESA \
  | 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: b58d859bfabd81c39ca22feddec7449009429d4ca72a27b6d85defdb215d170a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9df0027d6aa75916c8b0ca877fdb3d715688c1d5ad2bb56c63ff9a41e56de6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.EM",
    "submitted_at": "2025-03-21T13:47:54Z",
    "title_canon_sha256": "5658ed5ce0da7a41918d001804b475548ef12202e25430c3d69b4fc385964ec5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.17144",
    "kind": "arxiv",
    "version": 2
  }
}