Pith Number

pith:BWKNNRKZ

pith:2020:BWKNNRKZ6VXP7GT7TFCA6PZOJE

not attested not anchored not stored refs pending

Cooperation in Small Groups -- an Optimal Transport Approach

Xinyang Wang

arxiv:2005.11244 v1 · 2020-05-22 · econ.TH · cs.GT · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BWKNNRKZ6VXP7GT7TFCA6PZOJE}

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	2026-07-05T01:05:06.416571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d94d6c559f56eff9a7f99440f3f2e4921aed7ba753db4ff7f18bcaf215eebc3

Aliases

arxiv: 2005.11244 · arxiv_version: 2005.11244v1 · doi: 10.48550/arxiv.2005.11244 · pith_short_12: BWKNNRKZ6VXP · pith_short_16: BWKNNRKZ6VXP7GT7 · pith_short_8: BWKNNRKZ

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/BWKNNRKZ6VXP7GT7TFCA6PZOJE \
  | 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: 0d94d6c559f56eff9a7f99440f3f2e4921aed7ba753db4ff7f18bcaf215eebc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "180731e2bbeccc3099c4bc36b128097ac4c98f1d7b0055a2fe4f015322472179",
    "cross_cats_sorted": [
      "cs.GT",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.TH",
    "submitted_at": "2020-05-22T15:56:08Z",
    "title_canon_sha256": "8cde36aa931b41b974e4e57049b08b6d2b92abef33485695ea9d14f879cda2ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.11244",
    "kind": "arxiv",
    "version": 1
  }
}