Pith Number

pith:WQVPXAPP

pith:2026:WQVPXAPPH7OIPRBSQVAWENJVWQ

not attested not anchored not stored refs pending

Cross-Validation Equilibrium

Ran Spiegler, Stephan Waizmann

arxiv:2606.12571 v1 · 2026-06-10 · econ.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{WQVPXAPPH7OIPRBSQVAWENJVWQ}

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	2026-06-12T00:07:55.159016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b42afb81ef3fdc87c4328541623535b4073c908f7d2fef9c74ab133601835861

Aliases

arxiv: 2606.12571 · arxiv_version: 2606.12571v1 · doi: 10.48550/arxiv.2606.12571 · pith_short_12: WQVPXAPPH7OI · pith_short_16: WQVPXAPPH7OIPRBS · pith_short_8: WQVPXAPP

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/WQVPXAPPH7OIPRBSQVAWENJVWQ \
  | 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: b42afb81ef3fdc87c4328541623535b4073c908f7d2fef9c74ab133601835861

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ddaca8e18307c172c3c5a34124024d2789310ce60c927b2e748643da5864163",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "econ.TH",
    "submitted_at": "2026-06-10T18:22:26Z",
    "title_canon_sha256": "63dbdcdb8134ce40c5ee6f24717bf4dbc54f7f55a8bffb7510b817e9aab58305"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12571",
    "kind": "arxiv",
    "version": 1
  }
}