Pith Number

pith:L3IUP7ZA

pith:2018:L3IUP7ZA456CC3PNPTEMANO6Z6

not attested not anchored not stored refs pending

Inequalities in approximation theory involving fractional smoothness in $L_p$, $0<p<1$

Tetiana Lomako, Yurii Kolomoitsev

arxiv:1811.03515 v1 · 2018-11-08 · 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{L3IUP7ZA456CC3PNPTEMANO6Z6}

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.

Receipt and verification

First computed	2026-05-18T00:01:15.889505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ed147ff20e77c216ded7cc8c035decf9f5e94c82b211486c6d881753c7f36d6

Aliases

arxiv: 1811.03515 · arxiv_version: 1811.03515v1 · doi: 10.48550/arxiv.1811.03515 · pith_short_12: L3IUP7ZA456C · pith_short_16: L3IUP7ZA456CC3PN · pith_short_8: L3IUP7ZA

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/L3IUP7ZA456CC3PNPTEMANO6Z6 \
  | 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: 5ed147ff20e77c216ded7cc8c035decf9f5e94c82b211486c6d881753c7f36d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9b2ac135df6fe038f5b3e4c55bdc2c0f0a08a180304bab423330899f8b44471",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-11-08T16:02:55Z",
    "title_canon_sha256": "e0dda743ad57059f3ce5b1326ac4f8ae5bf3c1340a033554ea677516f6186a50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03515",
    "kind": "arxiv",
    "version": 1
  }
}