Pith Number

pith:7BURRSHJ

pith:2019:7BURRSHJBOYF5XT72ST33KBVFE

not attested not anchored not stored refs pending

Concentrating phenomenon for fractional nonlinear Schr\"{o}dinger-Poisson system with critical nonlinearity

Kaimin Teng

arxiv:1906.11563 v1 · 2019-06-27 · 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{7BURRSHJBOYF5XT72ST33KBVFE}

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	2026-05-17T23:42:01.916353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f86918c8e90bb05ede7fd4a7bda835293d7eb7cbe736b648b4baa404ab1eb95c

Aliases

arxiv: 1906.11563 · arxiv_version: 1906.11563v1 · doi: 10.48550/arxiv.1906.11563 · pith_short_12: 7BURRSHJBOYF · pith_short_16: 7BURRSHJBOYF5XT7 · pith_short_8: 7BURRSHJ

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/7BURRSHJBOYF5XT72ST33KBVFE \
  | 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: f86918c8e90bb05ede7fd4a7bda835293d7eb7cbe736b648b4baa404ab1eb95c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a086776d8837e748938c8b02e2feeb44f72f0586dbe2f63f7bdf3b7e0c03e8d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-27T11:43:31Z",
    "title_canon_sha256": "c22dec446ca7c4258e3ad13d5c3a739f9df76242c106f2d21748e6210d5494dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11563",
    "kind": "arxiv",
    "version": 1
  }
}