Pith Number

pith:2RJX3BUA

pith:2018:2RJX3BUAMAQ6DXPR4RTSS6GXDL

not attested not anchored not stored refs pending

The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis-Nirenberg problem

Anal\'ia Silva, Juli\'an Fern\'andez Bonder, Nicolas Saintier

arxiv:1802.09322 v1 · 2018-02-26 · 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{2RJX3BUAMAQ6DXPR4RTSS6GXDL}

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	2026-05-18T00:22:34.064540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4537d86806021e1ddf1e4672978d71afb7fe516a9cda6ebb516b235cf026100

Aliases

arxiv: 1802.09322 · arxiv_version: 1802.09322v1 · doi: 10.48550/arxiv.1802.09322 · pith_short_12: 2RJX3BUAMAQ6 · pith_short_16: 2RJX3BUAMAQ6DXPR · pith_short_8: 2RJX3BUA

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/2RJX3BUAMAQ6DXPR4RTSS6GXDL \
  | 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: d4537d86806021e1ddf1e4672978d71afb7fe516a9cda6ebb516b235cf026100

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbe4315ce4cfbaad5b37455faa47ab13a5f1fa4f7a929cbdf390e62345cdc905",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-02-26T14:35:09Z",
    "title_canon_sha256": "95d84d56ff235bea49910cfdb10ae6d6ad15d1bcaf7f93048a8481080819a7eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09322",
    "kind": "arxiv",
    "version": 1
  }
}