Pith Number

pith:3SRD56Z2

pith:2011:3SRD56Z2ALSCKV5QDTRNA55LER

not attested not anchored not stored refs pending

Semilinear elliptic equations for the fractional Laplacian with Hardy potential

Mouhamed Moustapha Fall

arxiv:1109.5530 v4 · 2011-09-26 · 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{3SRD56Z2ALSCKV5QDTRNA55LER}

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	2026-05-18T03:42:32.262176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dca23efb3a02e42557b01ce2d077ab245ce5105fe24e6e2f95bd1eee6bd4523d

Aliases

arxiv: 1109.5530 · arxiv_version: 1109.5530v4 · doi: 10.48550/arxiv.1109.5530 · pith_short_12: 3SRD56Z2ALSC · pith_short_16: 3SRD56Z2ALSCKV5Q · pith_short_8: 3SRD56Z2

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/3SRD56Z2ALSCKV5QDTRNA55LER \
  | 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: dca23efb3a02e42557b01ce2d077ab245ce5105fe24e6e2f95bd1eee6bd4523d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17b85d072a38af211390d4208d146d0ef090e004dcd4be77f5f6a3c386f3013d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-26T11:51:25Z",
    "title_canon_sha256": "0cb181a86f074f7e9768f9ed6455194cd9cf4e7813b5333732dc697e8277699b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5530",
    "kind": "arxiv",
    "version": 4
  }
}