Pith Number

pith:DSA6MSJT

pith:2019:DSA6MSJT4ML43G3GVNQQPXAADC

not attested not anchored not stored refs pending

A minimization problem involving a fractional Hardy-Sobolev type inequality

Antonella Ritorto

arxiv:1908.05095 v2 · 2019-08-14 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DSA6MSJT4ML43G3GVNQQPXAADC}

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	2026-07-05T01:44:36.759531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c81e64933e317cd9b66ab6107dc00189fa70596f62fab128c07d08622cde4da

Aliases

arxiv: 1908.05095 · arxiv_version: 1908.05095v2 · doi: 10.48550/arxiv.1908.05095 · pith_short_12: DSA6MSJT4ML4 · pith_short_16: DSA6MSJT4ML43G3G · pith_short_8: DSA6MSJT

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/DSA6MSJT4ML43G3GVNQQPXAADC \
  | 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: 1c81e64933e317cd9b66ab6107dc00189fa70596f62fab128c07d08622cde4da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c46ac211c893481d7ab079277a395c4d76e71743f18f5189a14d96b2f733f915",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-14T12:24:24Z",
    "title_canon_sha256": "c53eec9248ba7867b6a10336d6772ff42eb919cb1bef67b540aed016a890fb63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05095",
    "kind": "arxiv",
    "version": 2
  }
}