Pith Number

pith:ZH2AIJJP

pith:2026:ZH2AIJJPVENUW7UJ4EBQUXMYDJ

not attested not anchored not stored refs pending

Wasserstein Robust Performative Prediction via Lagrangian Relaxation

Karl H. Johansson, Siyi Wang, Zifan Wang

arxiv:2602.06730 v2 · 2026-02-06 · 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{ZH2AIJJPVENUW7UJ4EBQUXMYDJ}

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	2026-07-02T01:17:27.770464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9f404252fa91b4b7e89e1030a5d981a5fb9b4cd46c45543c5400b1316cd7125

Aliases

arxiv: 2602.06730 · arxiv_version: 2602.06730v2 · doi: 10.48550/arxiv.2602.06730 · pith_short_12: ZH2AIJJPVENU · pith_short_16: ZH2AIJJPVENUW7UJ · pith_short_8: ZH2AIJJP

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/ZH2AIJJPVENUW7UJ4EBQUXMYDJ \
  | 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: c9f404252fa91b4b7e89e1030a5d981a5fb9b4cd46c45543c5400b1316cd7125

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcc9c7d9f40eacb044a76d65cf3206be7de40920bd1375eba42634f17ad7dab5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-02-06T14:24:52Z",
    "title_canon_sha256": "ab577a10ae1ada37a63ad8d9ea4b7c6f5314ae3df02ac5249c4a057525f872fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.06730",
    "kind": "arxiv",
    "version": 2
  }
}