Pith Number

pith:C4M24HDX

pith:2017:C4M24HDXIGSUPCTF5JGCZKO5WT

not attested not anchored not stored refs pending

Existence and concentration of positive ground state solutions for nonlinear fractional Schr\"odinger-Poisson system with critical growth

Kaimin Teng, Ravi P. Agarwal

arxiv:1702.05387 v1 · 2017-02-17 · 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{C4M24HDXIGSUPCTF5JGCZKO5WT}

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	2026-05-17T23:57:44.637068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1719ae1c7741a5478a65ea4c2ca9ddb4eda12ac8ae6c616c8c77771381dc8fa6

Aliases

arxiv: 1702.05387 · arxiv_version: 1702.05387v1 · doi: 10.48550/arxiv.1702.05387 · pith_short_12: C4M24HDXIGSU · pith_short_16: C4M24HDXIGSUPCTF · pith_short_8: C4M24HDX

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/C4M24HDXIGSUPCTF5JGCZKO5WT \
  | 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: 1719ae1c7741a5478a65ea4c2ca9ddb4eda12ac8ae6c616c8c77771381dc8fa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ecbab2e8ea379ad8cca8ecd83a328310158af445ac5a636135752a890621fd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-02-17T15:31:02Z",
    "title_canon_sha256": "0093e6090ea7047ddd7b8ecc093a0a1949ada5de3849e1a05108fd06897cd8bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.05387",
    "kind": "arxiv",
    "version": 1
  }
}