Pith Number

pith:WTQ2SYI5

pith:2024:WTQ2SYI5TXGKCNZLVBCPXAHVWF

not attested not anchored not stored refs pending

Subadditivity and optimal matching of unbounded samples

Dario Trevisan, Emanuele Caglioti, Francesca Pieroni, Michael Goldman

arxiv:2407.06352 v1 · 2024-07-08 · math.PR · math-ph · math.FA · math.MP · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WTQ2SYI5TXGKCNZLVBCPXAHVWF}

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

The Wasserstein cost of Importance Sampling

Receipt and verification

First computed	2026-07-05T08:41:29.106877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4e1a9611d9dcca1372ba844fb80f5b172d438e53645d17ed7825b4b90db9f06

Aliases

arxiv: 2407.06352 · arxiv_version: 2407.06352v1 · doi: 10.48550/arxiv.2407.06352 · pith_short_12: WTQ2SYI5TXGK · pith_short_16: WTQ2SYI5TXGKCNZL · pith_short_8: WTQ2SYI5

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/WTQ2SYI5TXGKCNZLVBCPXAHVWF \
  | 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: b4e1a9611d9dcca1372ba844fb80f5b172d438e53645d17ed7825b4b90db9f06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "569810a2103bae362c7eb8f23cc738009008e73c70a3e2413aeb36ac3c4543ee",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-07-08T19:45:16Z",
    "title_canon_sha256": "9d1954ff60ba079755538f29275274f5462842a0db344b8277935d221792ecf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.06352",
    "kind": "arxiv",
    "version": 1
  }
}