Pith Number

pith:P5ILGSJC

pith:2016:P5ILGSJCVSJX5DWGEYVKI5HMPR

not attested not anchored not stored refs pending

A review of matrix scaling and Sinkhorn's normal form for matrices and positive maps

Martin Idel

arxiv:1609.06349 v1 · 2016-09-20 · math.RA · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P5ILGSJCVSJX5DWGEYVKI5HMPR}

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

7 papers in Pith

Network-Based Epidemic Control Through Optimal Travel and Quarantine Management

Accelerating operator Sinkhorn iteration with overrelaxation

Generalised Entanglement Entropies from Unit-Invariant Singular Value Decomposition

Almost-sharp $O(k^{-1} \log k)$ convergence rate for the Sinkhorn algorithm in the asymptotically scalable case

On the Efficiency of Sinkhorn-Knopp for Entropically Regularized Optimal Transport

Receipt and verification

First computed	2026-05-18T01:04:08.516540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f50b34922ac937e8ec6262aa474ec7c55f3d7d20f4217279fb2001ae1512cb8

Aliases

arxiv: 1609.06349 · arxiv_version: 1609.06349v1 · doi: 10.48550/arxiv.1609.06349 · pith_short_12: P5ILGSJCVSJX · pith_short_16: P5ILGSJCVSJX5DWG · pith_short_8: P5ILGSJC

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/P5ILGSJCVSJX5DWGEYVKI5HMPR \
  | 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: 7f50b34922ac937e8ec6262aa474ec7c55f3d7d20f4217279fb2001ae1512cb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2c578c00fd41aa9b71967c7d144d1ece678a3b52a67a27d446a555ad58e2194",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-09-20T20:41:04Z",
    "title_canon_sha256": "4613d4d857ad666cadede745c295e4fa9110726001cec8cc468ca27678b37752"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06349",
    "kind": "arxiv",
    "version": 1
  }
}