Pith Number

pith:WCQ3VFJI

pith:2022:WCQ3VFJIPKIGCGFCIDITYZWBKV

not attested not anchored not stored refs pending

Robust computation of optimal transport by $\beta$-potential regularization

Han Bao, Masashi Sugiyama, Shintaro Nakamura

arxiv:2212.13251 v1 · 2022-12-26 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCQ3VFJIPKIGCGFCIDITYZWBKV}

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	2026-07-05T05:28:18.601638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0a1ba95287a906118a240d13c66c155604596459055626f2fc0bc01193d4467

Aliases

arxiv: 2212.13251 · arxiv_version: 2212.13251v1 · doi: 10.48550/arxiv.2212.13251 · pith_short_12: WCQ3VFJIPKIG · pith_short_16: WCQ3VFJIPKIGCGFC · pith_short_8: WCQ3VFJI

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/WCQ3VFJIPKIGCGFCIDITYZWBKV \
  | 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: b0a1ba95287a906118a240d13c66c155604596459055626f2fc0bc01193d4467

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1c7631a45a00f3f90a8d5b506b7dbdd9eb97b4f360396f6a1b2bd82a420258e",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-12-26T18:37:28Z",
    "title_canon_sha256": "90a794e5f5386bc0368aa43d9452eef903bdc9159c4529dddb58524396ca06b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.13251",
    "kind": "arxiv",
    "version": 1
  }
}