Pith Number

pith:CRTRINJQ

pith:2015:CRTRINJQLLCCTXP6MCG33XL4I5

not attested not anchored not stored refs pending

Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential

Berardino Sciunzi, Ireneo Peral, Luigi Montoro, Serena Dipierro

arxiv:1506.07317 v1 · 2015-06-24 · 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{CRTRINJQLLCCTXP6MCG33XL4I5}

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	2026-05-18T01:39:54.353991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14671435305ac429ddfe608dbddd7c475d9174c33103f44f98e58978f0593c96

Aliases

arxiv: 1506.07317 · arxiv_version: 1506.07317v1 · doi: 10.48550/arxiv.1506.07317 · pith_short_12: CRTRINJQLLCC · pith_short_16: CRTRINJQLLCCTXP6 · pith_short_8: CRTRINJQ

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/CRTRINJQLLCCTXP6MCG33XL4I5 \
  | 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: 14671435305ac429ddfe608dbddd7c475d9174c33103f44f98e58978f0593c96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b12472b355eac8efc10530726d378e9064b91b4415c240937562313cb3c43379",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-24T11:05:20Z",
    "title_canon_sha256": "74f8170de3a0298ea5328d8bb83d4322eccb1c330a53c75c576d1c718069aff7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07317",
    "kind": "arxiv",
    "version": 1
  }
}