Pith Number

pith:ION333QM

pith:2025:ION333QMGV4QAXW75TN4YEDK7O

not attested not anchored not stored refs pending

Minimax Optimal Rates for Regression on Manifolds and Distributions

Rong Tang, Yun Yang

arxiv:2506.07504 v1 · 2025-06-09 · 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{ION333QMGV4QAXW75TN4YEDK7O}

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	2026-07-05T11:18:28.444140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

439bbdee0c3579005edfecdbcc106afbb15d5d9311eb93f84ba6e6ad4e0d1ada

Aliases

arxiv: 2506.07504 · arxiv_version: 2506.07504v1 · doi: 10.48550/arxiv.2506.07504 · pith_short_12: ION333QMGV4Q · pith_short_16: ION333QMGV4QAXW7 · pith_short_8: ION333QM

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/ION333QMGV4QAXW75TN4YEDK7O \
  | 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: 439bbdee0c3579005edfecdbcc106afbb15d5d9311eb93f84ba6e6ad4e0d1ada

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ce843c56454fa3d223ecb065b254f933f9c8c8fb859b0b4fc8568f616692606",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-06-09T07:28:00Z",
    "title_canon_sha256": "a04caa30ed2204fb43699dba37c89d8a38f8fbef483650d126c46888ba870df0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07504",
    "kind": "arxiv",
    "version": 1
  }
}