Pith Number

pith:WEFZ3UA3

pith:2015:WEFZ3UA3HOK32YLKH6USV5Q3L5

not attested not anchored not stored refs pending

Fractional elliptic problems with critical growth in the whole of $\R^n$

Enrico Valdinoci, Maria Medina, Serena Dipierro

arxiv:1506.01748 v2 · 2015-06-04 · 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{WEFZ3UA3HOK32YLKH6USV5Q3L5}

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.

Cited by

1 paper in Pith

Concentrating phenomenon for fractional nonlinear Schr\"{o}dinger-Poisson system with critical nonlinearity

Receipt and verification

First computed	2026-05-18T01:18:44.742592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b10b9dd01b3b95bd616a3fa92af61b5f4f32b4c4c94fc398cee84e6c5e0880a1

Aliases

arxiv: 1506.01748 · arxiv_version: 1506.01748v2 · doi: 10.48550/arxiv.1506.01748 · pith_short_12: WEFZ3UA3HOK3 · pith_short_16: WEFZ3UA3HOK32YLK · pith_short_8: WEFZ3UA3

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/WEFZ3UA3HOK32YLKH6USV5Q3L5 \
  | 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: b10b9dd01b3b95bd616a3fa92af61b5f4f32b4c4c94fc398cee84e6c5e0880a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "724feeae410b0d6d8a9646daa5c54f66068d980bd8de2a3a881ef68269725d66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-04T23:20:25Z",
    "title_canon_sha256": "36ee271c759ae3b7ca86386cf803ef92793dbbc2d3658dfc4665d18a910e9b8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01748",
    "kind": "arxiv",
    "version": 2
  }
}