Pith Number

pith:WFO2QFVE

pith:2024:WFO2QFVEMR4Y5JAL7BCL5EKS45

not attested not anchored not stored refs pending

The entries of the Sinkhorn limit of an $m \times n$ matrix

Eric Rowland, Jason Wu

arxiv:2409.02789 v2 · 2024-09-04 · math.NT · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WFO2QFVEMR4Y5JAL7BCL5EKS45}

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

1 paper in Pith

Closed Form of a Generalized Sinkhorn Limit

Receipt and verification

First computed	2026-07-05T11:09:00.088099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b15da816a464798ea40bf844be9152e778c44fb2f02526c3c9e70f0ee47d92e1

Aliases

arxiv: 2409.02789 · arxiv_version: 2409.02789v2 · doi: 10.48550/arxiv.2409.02789 · pith_short_12: WFO2QFVEMR4Y · pith_short_16: WFO2QFVEMR4Y5JAL · pith_short_8: WFO2QFVE

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/WFO2QFVEMR4Y5JAL7BCL5EKS45 \
  | 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: b15da816a464798ea40bf844be9152e778c44fb2f02526c3c9e70f0ee47d92e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc236b0cac4a035e137a038fda20e289d448f1414bb470563f68f27f2c832afc",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-09-04T15:04:18Z",
    "title_canon_sha256": "7eae098fd0bd6ef6a25fd970b03ee039f3a41932da3bdb0821e8f5d3eb586dc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.02789",
    "kind": "arxiv",
    "version": 2
  }
}