Pith Number

pith:3VR26MR4

pith:2021:3VR26MR46XORBWA5Q3YCBOC7AO

not attested not anchored not stored refs pending

Learning High Dimensional Wasserstein Geodesics

Haomin Zhou, Hongyuan Zha, Shaojun Ma, Shu Liu, Yongxin Chen

arxiv:2102.02992 v5 · 2021-02-05 · 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{3VR26MR46XORBWA5Q3YCBOC7AO}

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.

Cited by

4 papers in Pith

Implicit Neural Optimal Transport via Fixed-Point Optimization

An efficient second-order cone programming approach for dynamic optimal transport on staggered grid discretization

Learning Monge maps with constrained drifting models

Implicit Neural Optimal Transport via Fixed-Point Optimization

Receipt and verification

First computed	2026-07-05T02:46:44.195740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd63af323cf5dd10d81d86f020b85f03adeeb7a24f33a367b5a2baf045acf690

Aliases

arxiv: 2102.02992 · arxiv_version: 2102.02992v5 · doi: 10.48550/arxiv.2102.02992 · pith_short_12: 3VR26MR46XOR · pith_short_16: 3VR26MR46XORBWA5 · pith_short_8: 3VR26MR4

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/3VR26MR46XORBWA5Q3YCBOC7AO \
  | 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: dd63af323cf5dd10d81d86f020b85f03adeeb7a24f33a367b5a2baf045acf690

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "482dfeab97ac2b928e2f42a86b5f63a6a3d9df49cf936894e0a5621d61218167",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-02-05T04:25:28Z",
    "title_canon_sha256": "c8704fe250e5a897485ab334a3f97eb455309c7a4f80fd82270df3e12ccbe8fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.02992",
    "kind": "arxiv",
    "version": 5
  }
}