Pith Number

pith:7OQZ4KGQ

pith:2015:7OQZ4KGQ3M7W4ONOSOGY65IBQV

not attested not anchored not stored refs pending

Compactness and existence results in weighted Sobolev spaces of radial functions. Part II: Existence

Marino Badiale, Michela Guida, Sergio Rolando

arxiv:1506.00056 v1 · 2015-05-30 · 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{7OQZ4KGQ3M7W4ONOSOGY65IBQV}

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	2026-05-18T00:55:39.497602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fba19e28d0db3f6e39ae938d8f7501856bbd5f441389d3b569a82c74d408127b

Aliases

arxiv: 1506.00056 · arxiv_version: 1506.00056v1 · doi: 10.48550/arxiv.1506.00056 · pith_short_12: 7OQZ4KGQ3M7W · pith_short_16: 7OQZ4KGQ3M7W4ONO · pith_short_8: 7OQZ4KGQ

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/7OQZ4KGQ3M7W4ONOSOGY65IBQV \
  | 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: fba19e28d0db3f6e39ae938d8f7501856bbd5f441389d3b569a82c74d408127b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3b8ccc3f96c37ba800c724d47dfa9feb633172767fb0b427bc440a33afb4ccd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-30T01:27:36Z",
    "title_canon_sha256": "e7efba3fc1d1f28d257b26282ef06d9b88225a4b61df20e2d384694d32628885"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00056",
    "kind": "arxiv",
    "version": 1
  }
}