Pith Number

pith:XIKLPJZF

pith:2016:XIKLPJZFNKLUMV3AX2EEIVA5JT

not attested not anchored not stored refs pending

Sinkhorn-Knopp theorem for rectangular positive maps

Daniel Cariello

arxiv:1609.07083 v2 · 2016-09-22 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XIKLPJZFNKLUMV3AX2EEIVA5JT}

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	2026-05-18T00:22:40.309132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba14b7a7256a97465760be8844541d4cdb59369983f0a1d93a43e0b551bee6c1

Aliases

arxiv: 1609.07083 · arxiv_version: 1609.07083v2 · doi: 10.48550/arxiv.1609.07083 · pith_short_12: XIKLPJZFNKLU · pith_short_16: XIKLPJZFNKLUMV3A · pith_short_8: XIKLPJZF

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/XIKLPJZFNKLUMV3AX2EEIVA5JT \
  | 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: ba14b7a7256a97465760be8844541d4cdb59369983f0a1d93a43e0b551bee6c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5832db4e4b62e1ff3d89a6b21551103013204949f9e4df56ec4b44ad3093512a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-09-22T17:41:26Z",
    "title_canon_sha256": "5482a9e87601e25bb59b091c71f43bba747ac0cc16a0fa65c11c3aec844da179"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07083",
    "kind": "arxiv",
    "version": 2
  }
}