Pith Number

pith:HIQJRXDV

pith:2026:HIQJRXDVDZR27JRULTHAJNPI4A

not attested not anchored not stored refs pending

When Rough Data Helps: A Phase Transition in Convergence Rates for Kernel Recovery in Integral Operators

Fei Lu, Jihong Wang, Yue Yu

arxiv:2606.17672 v1 · 2026-06-16 · math.NA · cs.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HIQJRXDVDZR27JRULTHAJNPI4A}

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	2026-06-19T16:10:18.882197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a2098dc751e63afa6345cce04b5e8e02735c72ec1c3725ea670ea140d5858a8

Aliases

arxiv: 2606.17672 · arxiv_version: 2606.17672v1 · doi: 10.48550/arxiv.2606.17672 · pith_short_12: HIQJRXDVDZR2 · pith_short_16: HIQJRXDVDZR27JRU · pith_short_8: HIQJRXDV

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/HIQJRXDVDZR27JRULTHAJNPI4A \
  | 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: 3a2098dc751e63afa6345cce04b5e8e02735c72ec1c3725ea670ea140d5858a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02bd417c3bbc3566d0fae6103c60022ce014bd99fa50261cfca246c4ff6c92bb",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-16T08:33:41Z",
    "title_canon_sha256": "b8fbde3648041124dfd78edc3aab9efc0b69c1146a81f3e38d07cadc7df146cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17672",
    "kind": "arxiv",
    "version": 1
  }
}