Pith Number

pith:ZYKYGUXI

pith:2014:ZYKYGUXI5SFPGLP3GH72FAURLA

not attested not anchored not stored refs pending

Constructive sparse trigonometric approximation and other problems for functions with mixed smoothness

Vladimir Temlyakov

arxiv:1412.8647 v1 · 2014-12-24 · 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{ZYKYGUXI5SFPGLP3GH72FAURLA}

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	2026-05-18T01:20:47.196633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce158352e8ec8af32dfb31ffa2829158389645f58a03def3fa5dff6513af98ce

Aliases

arxiv: 1412.8647 · arxiv_version: 1412.8647v1 · doi: 10.48550/arxiv.1412.8647 · pith_short_12: ZYKYGUXI5SFP · pith_short_16: ZYKYGUXI5SFPGLP3 · pith_short_8: ZYKYGUXI

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/ZYKYGUXI5SFPGLP3GH72FAURLA \
  | 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: ce158352e8ec8af32dfb31ffa2829158389645f58a03def3fa5dff6513af98ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6782aff6fe739777c6639efcd004362fe5bd57c1eb25a16e3ac5f1796da04933",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-12-24T20:45:11Z",
    "title_canon_sha256": "844a45588c20520a98cc87a3b6ecf61802562a0f65b334b5f8edf9e5bb6329f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8647",
    "kind": "arxiv",
    "version": 1
  }
}