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Pith Number

pith:G6ORCHMW

pith:2016:G6ORCHMWPFTUAMRNC2EKK2RJ3A
not attested not anchored not stored refs pending

Existence and concentration of ground state solutions for a critical nonlocal Schr\"odinger equation in $\R^2$

Claudianor O. Alves, Cristina Tarsi, Daniele Cassani, Minbo Yang

arxiv:1601.01743 v1 · 2016-01-08 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{G6ORCHMWPFTUAMRNC2EKK2RJ3A}

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 2026-05-18T01:23:11.445635Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

379d111d96796740322d1688a56a29d810ca433aae0e2b980994c01be2cc74d7

Aliases

arxiv: 1601.01743 · arxiv_version: 1601.01743v1 · doi: 10.48550/arxiv.1601.01743 · pith_short_12: G6ORCHMWPFTU · pith_short_16: G6ORCHMWPFTUAMRN · pith_short_8: G6ORCHMW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/G6ORCHMWPFTUAMRNC2EKK2RJ3A \
  | 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: 379d111d96796740322d1688a56a29d810ca433aae0e2b980994c01be2cc74d7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "104c65c828b264e77e9a27ad6cf09620d8032290b36cc463c4840bd36d870396",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-01-08T01:33:46Z",
    "title_canon_sha256": "6c4d64d684a8f87c05dac14959437d30fafca034c687befdcf412b5d5f94fdd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01743",
    "kind": "arxiv",
    "version": 1
  }
}