Pith Number

pith:CQSLDOKI

pith:2020:CQSLDOKIIKXBGSPUIRKNGL6MH3

not attested not anchored not stored refs pending

A new upper bound for sampling numbers

Martin Sch\"afer, Nicolas Nagel, Tino Ullrich

arxiv:2010.00327 v2 · 2020-09-30 · 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{CQSLDOKIIKXBGSPUIRKNGL6MH3}

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

Some lower bounds for optimal sampling recovery of functions with mixed smoothness

Receipt and verification

First computed	2026-07-05T02:14:11.253475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1424b1b94842ae1349f44454d32fcc3ec86dee10e8018c2014ad00c34d316ff8

Aliases

arxiv: 2010.00327 · arxiv_version: 2010.00327v2 · doi: 10.48550/arxiv.2010.00327 · pith_short_12: CQSLDOKIIKXB · pith_short_16: CQSLDOKIIKXBGSPU · pith_short_8: CQSLDOKI

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/CQSLDOKIIKXBGSPUIRKNGL6MH3 \
  | 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: 1424b1b94842ae1349f44454d32fcc3ec86dee10e8018c2014ad00c34d316ff8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d47770f0c04157f0bcd9f9c582803ba7a5db8f30f8249fd78a63d64fb1db168",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-09-30T08:32:18Z",
    "title_canon_sha256": "8315db4d803796183a0cc1a7b7fa8daf31e7eddeafba9e2fb96770c80ffa6f6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.00327",
    "kind": "arxiv",
    "version": 2
  }
}