Pith Number

pith:RCZXHYRP

pith:2010:RCZXHYRP4W5ZP24D74V3JBP5FI

not attested not anchored not stored refs pending

Sharp nonexistence results for a linear elliptic inequality involving Hardy and Leray potentials

Mouhamed Moustapha Fall, Roberta Musina

arxiv:1006.5603 v2 · 2010-06-29 · 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{RCZXHYRP4W5ZP24D74V3JBP5FI}

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	2026-05-18T04:40:57.074224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88b373e22fe5bb97eb83ff2bb485fd2a1dbe45977e9731b381bf8b5fbc7e715d

Aliases

arxiv: 1006.5603 · arxiv_version: 1006.5603v2 · doi: 10.48550/arxiv.1006.5603 · pith_short_12: RCZXHYRP4W5Z · pith_short_16: RCZXHYRP4W5ZP24D · pith_short_8: RCZXHYRP

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/RCZXHYRP4W5ZP24D74V3JBP5FI \
  | 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: 88b373e22fe5bb97eb83ff2bb485fd2a1dbe45977e9731b381bf8b5fbc7e715d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3573ea7774ae010f6001f9ac7f4f862435b2afc422c0d985a6a09c045b91847",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-06-29T13:11:35Z",
    "title_canon_sha256": "02f0e4ce474409466ca24a8c173a5939c9ae07a895dffb1bf7cf9f7612950662"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5603",
    "kind": "arxiv",
    "version": 2
  }
}