Pith Number

pith:ANQJLC2D

pith:2022:ANQJLC2DTO2Z7CAGRBOOODX2IF

not attested not anchored not stored refs pending

A sharp upper bound for sampling numbers in $L_{2}$

David Krieg, Mario Ullrich, Matthieu Dolbeault

arxiv:2204.12621 v2 · 2022-04-26 · math.NA · cs.NA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ANQJLC2DTO2Z7CAGRBOOODX2IF}

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	2026-07-05T06:09:19.783128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0360958b439bb59f8806885ce70efa41758389bca2edffb4accb9a8d5ef017cf

Aliases

arxiv: 2204.12621 · arxiv_version: 2204.12621v2 · doi: 10.48550/arxiv.2204.12621 · pith_short_12: ANQJLC2DTO2Z · pith_short_16: ANQJLC2DTO2Z7CAG · pith_short_8: ANQJLC2D

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/ANQJLC2DTO2Z7CAGRBOOODX2IF \
  | 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: 0360958b439bb59f8806885ce70efa41758389bca2edffb4accb9a8d5ef017cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d795ceda0ecba1c9032f4581f84e2d70506d42275ef3b63df5adca8cf6a068c",
    "cross_cats_sorted": [
      "cs.NA",
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2022-04-26T22:36:04Z",
    "title_canon_sha256": "ee0bedac25fb5429a9dea39902b4858c587178ecadfb79904035e7014fbb25c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.12621",
    "kind": "arxiv",
    "version": 2
  }
}