Pith Number

pith:7YWY5U4V

pith:2019:7YWY5U4VDQHMKTZIBDYURFTHSL

not attested not anchored not stored refs pending

Pairwise optimal coupling of multiple random variables

Omer Angel, Yinon Spinka

arxiv:1903.00632 v2 · 2019-03-02 · math.PR · 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{7YWY5U4VDQHMKTZIBDYURFTHSL}

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

2 papers in Pith

Entropy Bounds for Local Coordination and Graph Amenability

Multi-Marginal Couplings for Metropolis-Hastings

Receipt and verification

First computed	2026-07-05T02:38:11.848889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe2d8ed3951c0ec54f2808f148966792f9436f056358e40363c2e1d8941169cb

Aliases

arxiv: 1903.00632 · arxiv_version: 1903.00632v2 · doi: 10.48550/arxiv.1903.00632 · pith_short_12: 7YWY5U4VDQHM · pith_short_16: 7YWY5U4VDQHMKTZI · pith_short_8: 7YWY5U4V

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/7YWY5U4VDQHMKTZIBDYURFTHSL \
  | 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: fe2d8ed3951c0ec54f2808f148966792f9436f056358e40363c2e1d8941169cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e147aacc34e799e3a721e22d6f171e277d763f6c6847c78abce0f5dcbf9523ef",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-03-02T05:56:59Z",
    "title_canon_sha256": "6711bbe22946250b679ca235e373e246484903b1d2e0f0c782b7069edb2c06d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.00632",
    "kind": "arxiv",
    "version": 2
  }
}