Pith Number

pith:52KWQFE4

pith:2019:52KWQFE4W6E34PGFSFLMBVFIDE

not attested not anchored not stored refs pending

Quantitative truncation estimates for fractional Hardy-Sobolev optimizers

S. A. Marano, S. Mosconi

arxiv:1907.06892 v1 · 2019-07-16 · 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{52KWQFE4W6E34PGFSFLMBVFIDE}

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	2026-05-17T23:40:28.771898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee9568149cb789be3cc59156c0d4a81925ab43c99ecf695e5349df21676e0239

Aliases

arxiv: 1907.06892 · arxiv_version: 1907.06892v1 · doi: 10.48550/arxiv.1907.06892 · pith_short_12: 52KWQFE4W6E3 · pith_short_16: 52KWQFE4W6E34PGF · pith_short_8: 52KWQFE4

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/52KWQFE4W6E34PGFSFLMBVFIDE \
  | 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: ee9568149cb789be3cc59156c0d4a81925ab43c99ecf695e5349df21676e0239

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a41b1ae2f4aa2045daf144b0ac494f037affb5a697753e56a342c1c0aba9c26e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-16T08:51:41Z",
    "title_canon_sha256": "f93f0cb1a99849a37f2e16a86f4e2445518f397f9d193f30cfc4f28de773d687"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06892",
    "kind": "arxiv",
    "version": 1
  }
}