Pith Number

pith:HJOXZ2DT

pith:2026:HJOXZ2DTS6AJIWLUVSGUX4UP7R

not attested not anchored not stored refs pending

Accelerated Multiple Wasserstein Gradient Flows for Multi-objective Distributional Optimization

Atsuyoshi Nakamura, Dai Hai Nguyen, Duc Dung Nguyen, Hiroshi Mamitsuka

arxiv:2601.19220 v2 · 2026-01-27 · 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{HJOXZ2DTS6AJIWLUVSGUX4UP7R}

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	2026-06-01T01:02:30.360698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a5d7ce8739780945974ac8d4bf28ffc7626bc627a4891db4fd0f65a600edb5a

Aliases

arxiv: 2601.19220 · arxiv_version: 2601.19220v2 · doi: 10.48550/arxiv.2601.19220 · pith_short_12: HJOXZ2DTS6AJ · pith_short_16: HJOXZ2DTS6AJIWLU · pith_short_8: HJOXZ2DT

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/HJOXZ2DTS6AJIWLUVSGUX4UP7R \
  | 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: 3a5d7ce8739780945974ac8d4bf28ffc7626bc627a4891db4fd0f65a600edb5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c25f225adb1befd1d2fa043d4e1ad5534413d46f04c9b8838e4ab89c6801181",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-01-27T05:41:36Z",
    "title_canon_sha256": "9df970940952a7ef0c95dc5c3ef2c4ba6160eb0d6cc20972b87ed736233bd233"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.19220",
    "kind": "arxiv",
    "version": 2
  }
}