Pith Number

pith:5NKKJHZU

pith:2016:5NKKJHZULGFN6YDVV32PBISE4W

not attested not anchored not stored refs pending

Stabilized Sparse Scaling Algorithms for Entropy Regularized Transport Problems

Bernhard Schmitzer

arxiv:1610.06519 v2 · 2016-10-20 · math.OC · cs.CE · math.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{5NKKJHZULGFN6YDVV32PBISE4W}

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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

1 paper in Pith

Implementation of batched Sinkhorn iterations for entropy-regularized Wasserstein loss

Receipt and verification

First computed	2026-05-17T23:54:26.965656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb54a49f34598adf6075aef4f0a244e5a2c64323363a348ad8ef487abd078ce7

Aliases

arxiv: 1610.06519 · arxiv_version: 1610.06519v2 · doi: 10.48550/arxiv.1610.06519 · pith_short_12: 5NKKJHZULGFN · pith_short_16: 5NKKJHZULGFN6YDV · pith_short_8: 5NKKJHZU

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/5NKKJHZULGFN6YDVV32PBISE4W \
  | 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: eb54a49f34598adf6075aef4f0a244e5a2c64323363a348ad8ef487abd078ce7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8335ed19af7be3debcdd51462f164eee45ad98c4152b26a055c371c574a4deb0",
    "cross_cats_sorted": [
      "cs.CE",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-10-20T17:49:21Z",
    "title_canon_sha256": "6b1078ae673209448dfcd660beef4962badac2547d74c997b8f6db9c56da2e45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06519",
    "kind": "arxiv",
    "version": 2
  }
}