Pith Number

pith:LLLJQA7U

pith:2021:LLLJQA7UWER4FGSXWJDG4ZQ6J5

not attested not anchored not stored refs pending

Linear-Time Gromov Wasserstein Distances using Low Rank Couplings and Costs

Gabriel Peyr\'e, Marco Cuturi, Meyer Scetbon

arxiv:2106.01128 v2 · 2021-06-02 · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LLLJQA7UWER4FGSXWJDG4ZQ6J5}

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	2026-07-05T05:39:00.148268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ad69803f4b123c29a57b2466e661e4f70964941f5b62e793885eb61eb52a60a

Aliases

arxiv: 2106.01128 · arxiv_version: 2106.01128v2 · doi: 10.48550/arxiv.2106.01128 · pith_short_12: LLLJQA7UWER4 · pith_short_16: LLLJQA7UWER4FGSX · pith_short_8: LLLJQA7U

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/LLLJQA7UWER4FGSXWJDG4ZQ6J5 \
  | 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: 5ad69803f4b123c29a57b2466e661e4f70964941f5b62e793885eb61eb52a60a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01637d8bd9080a23b4f33c03fdddfdfd23e9e3488f53e37462d1c9ade12dbd5f",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-06-02T12:50:56Z",
    "title_canon_sha256": "a859efcf221222693f2f07e48e5d0c17ab5d42ed5770dca0bee17c91ec459cb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.01128",
    "kind": "arxiv",
    "version": 2
  }
}