Pith Number

pith:6CAYNSWO

pith:2015:6CAYNSWOCQSMWPC3UZBCUYRHL2

not attested not anchored not stored refs pending

Dimension of Marginals of Kronecker Product Models

Guido Montufar, Jason Morton

arxiv:1511.03570 v1 · 2015-11-10 · stat.ML · cs.NE · math.AG · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6CAYNSWOCQSMWPC3UZBCUYRHL2}

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	2026-05-18T01:27:08.719465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f08186cace1424cb3c5ba6422a62275ebb033734121ee18b2ae4efa45f610674

Aliases

arxiv: 1511.03570 · arxiv_version: 1511.03570v1 · doi: 10.48550/arxiv.1511.03570 · pith_short_12: 6CAYNSWOCQSM · pith_short_16: 6CAYNSWOCQSMWPC3 · pith_short_8: 6CAYNSWO

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/6CAYNSWOCQSMWPC3UZBCUYRHL2 \
  | 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: f08186cace1424cb3c5ba6422a62275ebb033734121ee18b2ae4efa45f610674

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f1bfc1d86a3456a626d30686b747c80206890adb544b4b4997b99c1cd053179",
    "cross_cats_sorted": [
      "cs.NE",
      "math.AG",
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2015-11-10T00:44:59Z",
    "title_canon_sha256": "93211bf5b2910acac7d582599492f67b2cd8b5535ada2b70842523d6ef8134bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03570",
    "kind": "arxiv",
    "version": 1
  }
}