Pith Number

pith:KUXJGSV2

pith:2026:KUXJGSV2FF4S3LX265HDWKI7XG

not attested not anchored not stored refs pending

Convergence Rates of Ordering, Testing and Estimation Procedures for Graphons With Fast Boundary Decay Rates

Aaron Smith, Jeannette Janssen, Na Lin

arxiv:2605.27172 v1 · 2026-05-26 · math.ST · math.PR · 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{KUXJGSV2FF4S3LX265HDWKI7XG}

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	2026-05-27T02:05:46.312659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

552e934aba29792daefaf74e3b291fb9a68834f485e03beed81647ba3dbb8cf9

Aliases

arxiv: 2605.27172 · arxiv_version: 2605.27172v1 · doi: 10.48550/arxiv.2605.27172 · pith_short_12: KUXJGSV2FF4S · pith_short_16: KUXJGSV2FF4S3LX2 · pith_short_8: KUXJGSV2

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/KUXJGSV2FF4S3LX265HDWKI7XG \
  | 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: 552e934aba29792daefaf74e3b291fb9a68834f485e03beed81647ba3dbb8cf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "528c3efeddc9e72503c5f7839f55ac24c913a88c05fdadb8c8040a05de713606",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-05-26T15:28:05Z",
    "title_canon_sha256": "8047ce699e1ae5ee7b8ebf9325d0818c5e2b32f1cd57c57a6fb5d07f79d54e19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.27172",
    "kind": "arxiv",
    "version": 1
  }
}