Pith Number

pith:DD4IHBTY

pith:2019:DD4IHBTYL7URLLXZLMLRGRNUC4

not attested not anchored not stored refs pending

Generalized Stieltjes and other integral operators on Sobolev-Lebesgue spaces

Jes\'us Oliva-Maza, Pedro J. Miana

arxiv:1906.10772 v1 · 2019-06-25 · 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{DD4IHBTYL7URLLXZLMLRGRNUC4}

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	2026-05-17T23:42:14.814231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18f88386785fe915aef95b171345b4172757f9620e87fedd24e4345287bf0203

Aliases

arxiv: 1906.10772 · arxiv_version: 1906.10772v1 · doi: 10.48550/arxiv.1906.10772 · pith_short_12: DD4IHBTYL7UR · pith_short_16: DD4IHBTYL7URLLXZ · pith_short_8: DD4IHBTY

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/DD4IHBTYL7URLLXZLMLRGRNUC4 \
  | 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: 18f88386785fe915aef95b171345b4172757f9620e87fedd24e4345287bf0203

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64af5a0a71d5f24ca25fa25c85a03bbd16c0f9600332b70ae94c41873af599ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-06-25T22:21:10Z",
    "title_canon_sha256": "6b9d9151848df05818790e06ad5be4772dcc561b15e004eb02c419178712e486"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.10772",
    "kind": "arxiv",
    "version": 1
  }
}