Pith Number

pith:RJ46GD67

pith:2026:RJ46GD67254U5IX3MCOKS5FEMD

not attested not anchored not stored refs pending

Brezis-Nirenberg problems for mixed local-nonlocal operators with superlinear perturbations: compactness and applications

Mousomi Bhakta, Nirjan Biswas, Paramananda Das

arxiv:2605.25157 v1 · 2026-05-24 · 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{RJ46GD67254U5IX3MCOKS5FEMD}

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	2026-05-26T02:04:20.656796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a79e30fdfd7794ea2fb609ca974a460dd96c59f70017fc04b0ca4c33ef66e64

Aliases

arxiv: 2605.25157 · arxiv_version: 2605.25157v1 · doi: 10.48550/arxiv.2605.25157 · pith_short_12: RJ46GD67254U · pith_short_16: RJ46GD67254U5IX3 · pith_short_8: RJ46GD67

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/RJ46GD67254U5IX3MCOKS5FEMD \
  | 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: 8a79e30fdfd7794ea2fb609ca974a460dd96c59f70017fc04b0ca4c33ef66e64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "252f5a52fe46f3e5aa2bb001d0539454e4ca88634ace40e240b708ad84918edc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-24T16:28:54Z",
    "title_canon_sha256": "fb172b17b1333de103c84678fe66ce72f99b3ca9170213051d75b348c823b7ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25157",
    "kind": "arxiv",
    "version": 1
  }
}