Pith Number

pith:4EM3Z2EK

pith:2017:4EM3Z2EK26BN6GTF5ISQKQAV6K

not attested not anchored not stored refs pending

Ground state sign-changing solutions for a class of nonlinear fractional Schr\"odinger-Poisson system in $\mathbb{R}^{3}$

Chao Ji

arxiv:1703.03723 v1 · 2017-03-10 · 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{4EM3Z2EK26BN6GTF5ISQKQAV6K}

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	2026-05-18T00:48:55.984111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e119bce88ad782df1a65ea25054015f29a73cd39a5339b1404774375e77913b9

Aliases

arxiv: 1703.03723 · arxiv_version: 1703.03723v1 · doi: 10.48550/arxiv.1703.03723 · pith_short_12: 4EM3Z2EK26BN · pith_short_16: 4EM3Z2EK26BN6GTF · pith_short_8: 4EM3Z2EK

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/4EM3Z2EK26BN6GTF5ISQKQAV6K \
  | 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: e119bce88ad782df1a65ea25054015f29a73cd39a5339b1404774375e77913b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d36ab5e306fc936f08ab9e5363f4f1e2d8d09ca6802c554eb80b762c0343044",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-10T15:44:55Z",
    "title_canon_sha256": "72f8ba799b60904177e08eef4608df111d6c529120f904eac5f35fa0c8b810a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03723",
    "kind": "arxiv",
    "version": 1
  }
}