Pith Number

pith:C5DJ7CBC

pith:2018:C5DJ7CBCBSEGT5BEZKOVOYHSE5

not attested not anchored not stored refs pending

Solutions for quasilinear fourth order elliptic equations on $\mathbb{R}^{N}$ with sign-changing potential

Shibo Liu, Zhihan Zhao

arxiv:1807.06045 v3 · 2018-07-16 · 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{C5DJ7CBCBSEGT5BEZKOVOYHSE5}

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	2026-05-18T00:08:35.491001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17469f88220c8869f424ca9d5760f2277dc634b09e306e7c3e4b7c76350327c2

Aliases

arxiv: 1807.06045 · arxiv_version: 1807.06045v3 · doi: 10.48550/arxiv.1807.06045 · pith_short_12: C5DJ7CBCBSEG · pith_short_16: C5DJ7CBCBSEGT5BE · pith_short_8: C5DJ7CBC

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/C5DJ7CBCBSEGT5BEZKOVOYHSE5 \
  | 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: 17469f88220c8869f424ca9d5760f2277dc634b09e306e7c3e4b7c76350327c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63fd5ab9b032d776a68322ad51351738697d33f4b439a4a007985a72dac26b00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-07-16T18:15:30Z",
    "title_canon_sha256": "b8336a0b4cb6e24e806002748f50a7e4ba368c61ed93d861845ba33761da69dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06045",
    "kind": "arxiv",
    "version": 3
  }
}