Pith Number

pith:VRXHF5WF

pith:2020:VRXHF5WFDDOXAU5GCHGCSDL5Z4

not attested not anchored not stored refs pending

Hierarchical Low-Rank Approximation of Regularized Wasserstein Distance

Mohammad Motamed

arxiv:2004.12511 v2 · 2020-04-27 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRXHF5WFDDOXAU5GCHGCSDL5Z4}

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	2026-07-05T00:59:25.379399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac6e72f6c518dd7053a611cc290d7dcf19c229ee40ed80ad61c53b43a4c44e41

Aliases

arxiv: 2004.12511 · arxiv_version: 2004.12511v2 · doi: 10.48550/arxiv.2004.12511 · pith_short_12: VRXHF5WFDDOX · pith_short_16: VRXHF5WFDDOXAU5G · pith_short_8: VRXHF5WF

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/VRXHF5WFDDOXAU5GCHGCSDL5Z4 \
  | 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: ac6e72f6c518dd7053a611cc290d7dcf19c229ee40ed80ad61c53b43a4c44e41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cff49e8c461d5ea84d09c08a80ae2c6174234a7bcb99d04ff1d2f9ca163e9a89",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-04-27T00:02:59Z",
    "title_canon_sha256": "c1bfb9fadbaf0b8f1a21efb9bbb2bc11098d3d826bae171b00481227cbf3b782"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.12511",
    "kind": "arxiv",
    "version": 2
  }
}