Pith Number

pith:GWM3RELS

pith:2023:GWM3RELSLDE5ATCROVPCEYUHDM

not attested not anchored not stored refs pending

Random points are good for universal discretization

F. Dai, V. Temlyakov

arxiv:2301.12536 v4 · 2023-01-29 · math.FA · cs.NA · math.CA · math.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{GWM3RELSLDE5ATCROVPCEYUHDM}

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	2026-07-05T07:00:07.101417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3599b8917258c9d04c51755e2262871b3c51ea07fa853bc9e876b349595311aa

Aliases

arxiv: 2301.12536 · arxiv_version: 2301.12536v4 · doi: 10.48550/arxiv.2301.12536 · pith_short_12: GWM3RELSLDE5 · pith_short_16: GWM3RELSLDE5ATCR · pith_short_8: GWM3RELS

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/GWM3RELSLDE5ATCROVPCEYUHDM \
  | 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: 3599b8917258c9d04c51755e2262871b3c51ea07fa853bc9e876b349595311aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "299a46aee188304f1e016fac5a378c5b00357ea629e0cfab71174592f33ec5f7",
    "cross_cats_sorted": [
      "cs.NA",
      "math.CA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2023-01-29T20:43:44Z",
    "title_canon_sha256": "77935db4a61d1435e29233607acbeeed839dbc07ffd644f7f30295e1d0c2720b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.12536",
    "kind": "arxiv",
    "version": 4
  }
}