Pith Number

pith:5VE2ZROL

pith:2026:5VE2ZROLXEKKON6N3Z7TNMGK4H

not attested not anchored not stored refs pending

A Temporal Spatial Minimax Rate for Smoothly-Varying Distributions in Wasserstein Space

Munsik Kim

arxiv:2606.07325 v1 · 2026-06-05 · math.ST · cs.AI · cs.IT · math.IT · 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{5VE2ZROLXEKKON6N3Z7TNMGK4H}

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	2026-06-08T01:05:19.631996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed49acc5cbb914a737cdde7f36b0cae1d8f6b22253d294261a40dd773a6d55c7

Aliases

arxiv: 2606.07325 · arxiv_version: 2606.07325v1 · doi: 10.48550/arxiv.2606.07325 · pith_short_12: 5VE2ZROLXEKK · pith_short_16: 5VE2ZROLXEKKON6N · pith_short_8: 5VE2ZROL

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/5VE2ZROLXEKKON6N3Z7TNMGK4H \
  | 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: ed49acc5cbb914a737cdde7f36b0cae1d8f6b22253d294261a40dd773a6d55c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19fa89d75a8d0b49efa6d65ae378ba57726441e4b6a934b4aa9961f223b3df15",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.IT",
      "math.IT",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-06-05T14:43:10Z",
    "title_canon_sha256": "c9aff5a066589f59d904d8ccaacfee2983507ce3cffd9e4ec3d74c4df3a94c81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07325",
    "kind": "arxiv",
    "version": 1
  }
}