Pith Number

pith:HSVKD7SG

pith:2026:HSVKD7SG6W3SNXUTMDZI3XWSNQ

not attested not anchored not stored refs pending

On a class of critical Schr\"odinger-Poisson systems involving the (p,q)-Laplacian

Laura Baldelli, Roberta Filippucci

arxiv:2606.02227 v1 · 2026-06-01 · 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{HSVKD7SG6W3SNXUTMDZI3XWSNQ}

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	2026-06-02T03:04:53.622563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3caaa1fe46f5b726de9360f28dded26c2b49aff13a007948fe195216b3493651

Aliases

arxiv: 2606.02227 · arxiv_version: 2606.02227v1 · doi: 10.48550/arxiv.2606.02227 · pith_short_12: HSVKD7SG6W3S · pith_short_16: HSVKD7SG6W3SNXUT · pith_short_8: HSVKD7SG

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/HSVKD7SG6W3SNXUTMDZI3XWSNQ \
  | 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: 3caaa1fe46f5b726de9360f28dded26c2b49aff13a007948fe195216b3493651

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9319008e8242dfa29b1df7e1d051c5a6d59db048136cdb437a6f442ba5de2184",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-01T13:24:48Z",
    "title_canon_sha256": "b292d58f2f1162faf54bb413b59c805e437d270189ba072e0f85d7c2473b70f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02227",
    "kind": "arxiv",
    "version": 1
  }
}