Pith Number

pith:W5SQGG5K

pith:2026:W5SQGG5KYNHF4753CZATWWRPKN

not attested not anchored not stored refs pending

Assumption-Lean Shrinkage and Model Averaging for Spatial Parameters

Harvey Barnhard

arxiv:2606.12324 v1 · 2026-06-10 · 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{W5SQGG5KYNHF4753CZATWWRPKN}

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	2026-06-11T01:11:01.874984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b765031baac34e5e7fbb16413b5a2f535da67123bcef79b5ffcbf682ae04e384

Aliases

arxiv: 2606.12324 · arxiv_version: 2606.12324v1 · doi: 10.48550/arxiv.2606.12324 · pith_short_12: W5SQGG5KYNHF · pith_short_16: W5SQGG5KYNHF4753 · pith_short_8: W5SQGG5K

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/W5SQGG5KYNHF4753CZATWWRPKN \
  | 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: b765031baac34e5e7fbb16413b5a2f535da67123bcef79b5ffcbf682ae04e384

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e141567549a86289fa49c4ccac4734af94c575c1fb2c7531a00eb690f10d66c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.EM",
    "submitted_at": "2026-06-10T16:58:39Z",
    "title_canon_sha256": "6d13e1530c5c17f73e94d73b24e0f7e4b99a2d87f1fbb0a220634d1dcf53b1c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12324",
    "kind": "arxiv",
    "version": 1
  }
}