Pith Number

pith:3KSQQKKY

pith:2025:3KSQQKKYU52ASQZOTKK7DE76XA

not attested not anchored not stored refs pending

Phase Transition in Nonparametric Minimax Rates for Covariate Shifts on Approximate Manifolds

Debarghya Mukherjee, Nabarun Deb, Yuyao Wang

arxiv:2507.00889 v1 · 2025-07-01 · 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{3KSQQKKYU52ASQZOTKK7DE76XA}

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	2026-07-05T11:30:16.711567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daa5082958a77409432e9a95f193feb82064bd8b2fad72089994885a1b3791c9

Aliases

arxiv: 2507.00889 · arxiv_version: 2507.00889v1 · doi: 10.48550/arxiv.2507.00889 · pith_short_12: 3KSQQKKYU52A · pith_short_16: 3KSQQKKYU52ASQZO · pith_short_8: 3KSQQKKY

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/3KSQQKKYU52ASQZOTKK7DE76XA \
  | 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: daa5082958a77409432e9a95f193feb82064bd8b2fad72089994885a1b3791c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "990708732b8f9884dc509403acd1628bf4a51728343ff6fa8d7ecefa00ca50e6",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-07-01T15:55:27Z",
    "title_canon_sha256": "b5f7882ab91e598743087c87df5deccfc6cb46b5cdf842612ed7e5e6e9199b14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.00889",
    "kind": "arxiv",
    "version": 1
  }
}