Pith Number

pith:QHXG6AQQ

pith:2022:QHXG6AQQNWGRTYSREB6A3LJCBN

not attested not anchored not stored refs pending

Algorithms for Weak Optimal Transport with an Application to Economics

Fran\c{c}ois-Pierre Paty, Francis Kramarz, Philippe Chon\'e

arxiv:2205.09825 v2 · 2022-05-19 · stat.ML · cs.LG · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QHXG6AQQNWGRTYSREB6A3LJCBN}

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	2026-07-05T04:25:35.685516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81ee6f02106d8d19e251207c0dad220b443dde400520c6f817e795f47d15526a

Aliases

arxiv: 2205.09825 · arxiv_version: 2205.09825v2 · doi: 10.48550/arxiv.2205.09825 · pith_short_12: QHXG6AQQNWGR · pith_short_16: QHXG6AQQNWGRTYSR · pith_short_8: QHXG6AQQ

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/QHXG6AQQNWGRTYSREB6A3LJCBN \
  | 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: 81ee6f02106d8d19e251207c0dad220b443dde400520c6f817e795f47d15526a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5909d27527facef5e6f97a0194b136de854127b336373a45465aa299c5f27af3",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2022-05-19T19:53:20Z",
    "title_canon_sha256": "c8d9d1c713011170b564e830671eb15f7f32768a30c2c5e983ce64be03c1b748"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.09825",
    "kind": "arxiv",
    "version": 2
  }
}