Pith Number

pith:ZKZR7Z3L

pith:2026:ZKZR7Z3LFZIAYS5K6JTRULZ6D2

not attested not anchored not stored refs pending

Welfare Approximation in Multilateral Trade

Aadityan Ganesh, Aviad Rubinstein, Tomer Ezra

arxiv:2608.11351 v1 · 2026-08-11 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZKZR7Z3LFZIAYS5K6JTRULZ6D2}

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	2026-08-13T00:21:39.787196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cab31fe76b2e500c4baaf2671a2f3e1e8260b5f06eb2bb3b675366d594054a61

Aliases

arxiv: 2608.11351 · arxiv_version: 2608.11351v1 · doi: 10.48550/arxiv.2608.11351 · pith_short_12: ZKZR7Z3LFZIA · pith_short_16: ZKZR7Z3LFZIAYS5K · pith_short_8: ZKZR7Z3L

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/ZKZR7Z3LFZIAYS5K6JTRULZ6D2 \
  | 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: cab31fe76b2e500c4baaf2671a2f3e1e8260b5f06eb2bb3b675366d594054a61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6de10c888227f2db86987b7269f85326e91a8e5ffb384ccb9ab34ba4ad175f4f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-08-11T18:56:55Z",
    "title_canon_sha256": "4311d6a6b6fb6ea575d8643e7e0107acaa4aa6a984e6c1e9c19d426202fc7906"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.11351",
    "kind": "arxiv",
    "version": 1
  }
}