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Pith Number

pith:OLSISLFY

pith:2019:OLSISLFYVLR7XXLPVDT5A2I4AT
not attested not anchored not stored refs pending

Solutions for fourth-order Kirchhoff type elliptic equations involving concave-convex nonlinearities in $\mathbb{R}^{N}$

Dong-Lun Wu, Fengying Li

arxiv:1907.03200 v2 · 2019-07-06 · math.DS · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OLSISLFYVLR7XXLPVDT5A2I4AT}

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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 2026-05-17T23:39:35.195854Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

72e4892cb8aae3fbdd6fa8e7d0691c04f14acaf6b1c3d9ddf57386fe16b77895

Aliases

arxiv: 1907.03200 · arxiv_version: 1907.03200v2 · doi: 10.48550/arxiv.1907.03200 · pith_short_12: OLSISLFYVLR7 · pith_short_16: OLSISLFYVLR7XXLP · pith_short_8: OLSISLFY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OLSISLFYVLR7XXLPVDT5A2I4AT \
  | 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: 72e4892cb8aae3fbdd6fa8e7d0691c04f14acaf6b1c3d9ddf57386fe16b77895
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "05ff2f63075349da4463792e3fe92d4a32a821d0982bdcebb99abab01a9e1ae7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-07-06T22:33:55Z",
    "title_canon_sha256": "729ae27e78b195415cb7ed53781412cf61aed15540f744d1d1caa35d2158d0f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03200",
    "kind": "arxiv",
    "version": 2
  }
}