Pith Number

pith:WFZ3OZPF

pith:2018:WFZ3OZPFPWAKVRQBEZOV62IBLI

not attested not anchored not stored refs pending

Multiple positive solutions for a slightly subcritical Choquard problem on bounded domains

Dayana Pagliardini, Marco Ghimenti

arxiv:1804.03448 v1 · 2018-04-10 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WFZ3OZPFPWAKVRQBEZOV62IBLI}

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	2026-05-18T00:18:48.198436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b173b765e57d80aac601265d5f69015a19d6403af09ceafd269dbf83ec77db73

Aliases

arxiv: 1804.03448 · arxiv_version: 1804.03448v1 · doi: 10.48550/arxiv.1804.03448 · pith_short_12: WFZ3OZPFPWAK · pith_short_16: WFZ3OZPFPWAKVRQB · pith_short_8: WFZ3OZPF

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/WFZ3OZPFPWAKVRQBEZOV62IBLI \
  | 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: b173b765e57d80aac601265d5f69015a19d6403af09ceafd269dbf83ec77db73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bfa957c9d44d31f168a8505829274e55fd517fda6426af6205176c7b01ef009",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-10T10:54:41Z",
    "title_canon_sha256": "d5812269bea4cbddfe9f51dc0e10ab747bc98b377ed9353b881e5e444002c8e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03448",
    "kind": "arxiv",
    "version": 1
  }
}