Pith Number

pith:OKC7APSH

pith:2019:OKC7APSHO4YCTSFBV4CWANRASQ

not attested not anchored not stored refs pending

Characterization of Sobolev spaces on the sphere

J. A. Barcel\'o, S. P\'erez-Esteva, T. Luque

arxiv:1907.01571 v3 · 2019-07-02 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OKC7APSHO4YCTSFBV4CWANRASQ}

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.

Cited by

1 paper in Pith

The Cost of Discretization in Functional Linear Regression: Minimax Rates and Adaptation

Receipt and verification

First computed	2026-07-05T00:02:14.072540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7285f03e47773029c8a1af056036209407f7c5ce05eed419dbbd38fd43118c3f

Aliases

arxiv: 1907.01571 · arxiv_version: 1907.01571v3 · doi: 10.48550/arxiv.1907.01571 · pith_short_12: OKC7APSHO4YC · pith_short_16: OKC7APSHO4YCTSFB · pith_short_8: OKC7APSH

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/OKC7APSHO4YCTSFBV4CWANRASQ \
  | 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: 7285f03e47773029c8a1af056036209407f7c5ce05eed419dbbd38fd43118c3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "218942d3edce9e1e2bd8c05d675d869c4f29858d2353bf2f960db0020aa327e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-07-02T18:13:49Z",
    "title_canon_sha256": "8b48759a47145302f7e38d08d11c8b5ab5421515a09e087cd81701d6b58d80a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.01571",
    "kind": "arxiv",
    "version": 3
  }
}