Pith Number

pith:EBOLQCWK

pith:2018:EBOLQCWKNSW4BRHUPF2BCLKRFS

not attested not anchored not stored refs pending

Fractional smoothness in $L^p$ with Dunkl weight and its applications

D.V. Gorbachev, V.I. Ivanov

arxiv:1812.04946 v1 · 2018-12-10 · 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{EBOLQCWKNSW4BRHUPF2BCLKRFS}

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	2026-05-17T23:58:26.840183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

205cb80aca6cadc0c4f47974112d512ca23ba693465974022e5fbbb69f113854

Aliases

arxiv: 1812.04946 · arxiv_version: 1812.04946v1 · doi: 10.48550/arxiv.1812.04946 · pith_short_12: EBOLQCWKNSW4 · pith_short_16: EBOLQCWKNSW4BRHU · pith_short_8: EBOLQCWK

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/EBOLQCWKNSW4BRHUPF2BCLKRFS \
  | 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: 205cb80aca6cadc0c4f47974112d512ca23ba693465974022e5fbbb69f113854

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d1266218eb50555953596628802767e3c325fc57546860cf06b193669bcf309",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-12-10T21:45:01Z",
    "title_canon_sha256": "e22103d5f3c7a7ba56ce83fb2ba6eebb1c4f54ac3f99282953c4f87334553452"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04946",
    "kind": "arxiv",
    "version": 1
  }
}