Pith Number

pith:GTPJXMUK

pith:2011:GTPJXMUK5PQEGYL5VLYCQKVRUH

not attested not anchored not stored refs pending

Nonexistence of distributional supersolutions of a semilinear elliptic equation with Hardy potential

Mouhamed Moustapha Fall

arxiv:1105.5886 v6 · 2011-05-30 · 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{GTPJXMUK5PQEGYL5VLYCQKVRUH}

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	2026-05-18T03:43:05.368480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34de9bb28aebe043617daaf0282ab1a1c107b6788427c9f02b7c5cdb6afeaa99

Aliases

arxiv: 1105.5886 · arxiv_version: 1105.5886v6 · doi: 10.48550/arxiv.1105.5886 · pith_short_12: GTPJXMUK5PQE · pith_short_16: GTPJXMUK5PQEGYL5 · pith_short_8: GTPJXMUK

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/GTPJXMUK5PQEGYL5VLYCQKVRUH \
  | 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: 34de9bb28aebe043617daaf0282ab1a1c107b6788427c9f02b7c5cdb6afeaa99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebd6c38058415118997e042e331be58fae60550759f70372a18c81d545c0900d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-05-30T07:25:35Z",
    "title_canon_sha256": "e2efe618ea610e176d57f2f3ebb6b08a661246eac77f2ff0782e8f6fcbe4a05c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5886",
    "kind": "arxiv",
    "version": 6
  }
}