Pith Number

pith:E7J4UJSU

pith:2025:E7J4UJSUHF33PRCUUHUWDIUILP

not attested not anchored not stored refs pending

Sharp Convergence Rates of Empirical Unbalanced Optimal Transport for Spatio-Temporal Point Processes

Axel Munk, Dominic Schuhmacher, Marina Struleva, Shayan Hundrieser

arxiv:2509.04225 v1 · 2025-09-04 · math.ST · stat.ML · 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{E7J4UJSUHF33PRCUUHUWDIUILP}

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

Minimax Optimal Estimation of Transport-Growth Pairs in Unbalanced Optimal Transport

Receipt and verification

First computed	2026-07-05T12:04:55.833254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27d3ca26543977b7c454a1e961a2885bc1af7d274572fc72b64868ae7307b0b3

Aliases

arxiv: 2509.04225 · arxiv_version: 2509.04225v1 · doi: 10.48550/arxiv.2509.04225 · pith_short_12: E7J4UJSUHF33 · pith_short_16: E7J4UJSUHF33PRCU · pith_short_8: E7J4UJSU

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/E7J4UJSUHF33PRCUUHUWDIUILP \
  | 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: 27d3ca26543977b7c454a1e961a2885bc1af7d274572fc72b64868ae7307b0b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3aee813061df03483435c2a85e774b9e3e5f8ebe230d6f7050bf0c92ad48e38",
    "cross_cats_sorted": [
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-09-04T13:55:01Z",
    "title_canon_sha256": "e00b19f5abe92845d8036d7104b4ea37b84bc9f159b71908c90bb1910cdd27a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.04225",
    "kind": "arxiv",
    "version": 1
  }
}