Pith Number

pith:LFA5HGJI

pith:2018:LFA5HGJISVARQ7YFTYQLA222TJ

not attested not anchored not stored refs pending

Alternate minimization and doubly stochastic matrices

Melvyn B. Nathanson

arxiv:1812.11930 v3 · 2018-12-31 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LFA5HGJISVARQ7YFTYQLA222TJ}

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	2026-07-05T01:54:25.426505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5941d399289541187f059e20b06b5a9a47869dec770a96f0a4389131067ad0de

Aliases

arxiv: 1812.11930 · arxiv_version: 1812.11930v3 · doi: 10.48550/arxiv.1812.11930 · pith_short_12: LFA5HGJISVAR · pith_short_16: LFA5HGJISVARQ7YF · pith_short_8: LFA5HGJI

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/LFA5HGJISVARQ7YFTYQLA222TJ \
  | 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: 5941d399289541187f059e20b06b5a9a47869dec770a96f0a4389131067ad0de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4e9b0d364d69d8866d06560bc60ad6100b32503e53aa836b7acec0a58374db1",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-31T18:11:20Z",
    "title_canon_sha256": "ac09c684189f7c013bb4411d6e16a507d29806d81280c72b42a4b95b20e14407"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11930",
    "kind": "arxiv",
    "version": 3
  }
}