Pith Number

pith:2B3P7MFW

pith:2021:2B3P7MFWBNRVY65H63D2ZO67JX

not attested not anchored not stored refs pending

Robustly Optimal Mechanisms for Selling Multiple Goods

Weijie Zhong, Yeon-Koo Che

arxiv:2105.02828 v4 · 2021-05-06 · 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{2B3P7MFWBNRVY65H63D2ZO67JX}

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	2026-07-05T08:58:17.917488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d076ffb0b60b635c7ba7f6c7acbbdf4ddbc5cce314bb136acd3153efc0230e45

Aliases

arxiv: 2105.02828 · arxiv_version: 2105.02828v4 · doi: 10.48550/arxiv.2105.02828 · pith_short_12: 2B3P7MFWBNRV · pith_short_16: 2B3P7MFWBNRVY65H · pith_short_8: 2B3P7MFW

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/2B3P7MFWBNRVY65H63D2ZO67JX \
  | 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: d076ffb0b60b635c7ba7f6c7acbbdf4ddbc5cce314bb136acd3153efc0230e45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c594cfa27f38695637072b9d8a168b2a5da2eca66eb42da006dc0c38ce0bd6bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.TH",
    "submitted_at": "2021-05-06T17:16:30Z",
    "title_canon_sha256": "e84162095d763aa123ba667c9f9deca4f790b7c200c404b1042c80d39d1643ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.02828",
    "kind": "arxiv",
    "version": 4
  }
}