Pith Number

pith:G4GETUT2

pith:2017:G4GETUT2MO3CBYGTLORPFI65PJ

not attested not anchored not stored refs pending

Equilibrium selection via Optimal transport

Haomin Zhou, Jun Lu, Shui-Nee Chow, Wuchen Li

arxiv:1703.08442 v3 · 2017-03-23 · 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{G4GETUT2MO3CBYGTLORPFI65PJ}

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	2026-05-18T00:39:36.266226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

370c49d27a63b620e0d35ba2f2a3dd7a5fc7364a4a735eefb5744202558299b9

Aliases

arxiv: 1703.08442 · arxiv_version: 1703.08442v3 · doi: 10.48550/arxiv.1703.08442 · pith_short_12: G4GETUT2MO3C · pith_short_16: G4GETUT2MO3CBYGT · pith_short_8: G4GETUT2

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/G4GETUT2MO3CBYGTLORPFI65PJ \
  | 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: 370c49d27a63b620e0d35ba2f2a3dd7a5fc7364a4a735eefb5744202558299b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d210869883c5af684db4f1fe4919555d932fcb72a2e6e39d7336ad34c4b6b5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-03-23T06:28:24Z",
    "title_canon_sha256": "93ef19248f622241ef03824a6d53f1913d30e4ec8cdd707e69e800cf56394eca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08442",
    "kind": "arxiv",
    "version": 3
  }
}