Pith Number

pith:LGFIYZ2D

pith:2026:LGFIYZ2DOAZNEOAXXS35HG2VXX

not attested not anchored not stored refs pending

Barycentric Projections of Optimal Transport Plans on Riemannian Manifolds

Kisung You

arxiv:2606.07926 v1 · 2026-06-06 · stat.ML · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LGFIYZ2DOAZNEOAXXS35HG2VXX}

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	2026-06-09T01:04:55.584862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

598a8c67437032d23817bcb7d39b55bde3062737596540a777d0809feb488c92

Aliases

arxiv: 2606.07926 · arxiv_version: 2606.07926v1 · doi: 10.48550/arxiv.2606.07926 · pith_short_12: LGFIYZ2DOAZN · pith_short_16: LGFIYZ2DOAZNEOAX · pith_short_8: LGFIYZ2D

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/LGFIYZ2DOAZNEOAXXS35HG2VXX \
  | 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: 598a8c67437032d23817bcb7d39b55bde3062737596540a777d0809feb488c92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9f7f15562d1f3b144844a709df1db59b62a59065863a6e70e7640496942d10c",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-06-06T01:31:58Z",
    "title_canon_sha256": "35cb2032d44dfe55e66e736c7309af4f676b2df55d6e0183c9dade3701e2fe88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07926",
    "kind": "arxiv",
    "version": 1
  }
}