Pith Number

pith:4NWDKDXI

pith:2016:4NWDKDXINHFKIWACK62SGUN5VV

not attested not anchored not stored refs pending

Multiple positive solutions for nonlinear critical fractional elliptic equations involving sign-changing weight functions

Alexander Quaas, Aliang Xia

arxiv:1602.08276 v1 · 2016-02-26 · 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{4NWDKDXINHFKIWACK62SGUN5VV}

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	2026-05-18T01:15:42.205733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e36c350ee869caa4580257b52351bdad62aa4a5bff16c1270d2c616c636e53f4

Aliases

arxiv: 1602.08276 · arxiv_version: 1602.08276v1 · doi: 10.48550/arxiv.1602.08276 · pith_short_12: 4NWDKDXINHFK · pith_short_16: 4NWDKDXINHFKIWAC · pith_short_8: 4NWDKDXI

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/4NWDKDXINHFKIWACK62SGUN5VV \
  | 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: e36c350ee869caa4580257b52351bdad62aa4a5bff16c1270d2c616c636e53f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bfb4d7c4db9dfc86ac3c29510d0083ad98c12b275316c75b60a42dfa417e711",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-02-26T11:22:35Z",
    "title_canon_sha256": "70d774e6c20baf5b9af851bdead4d4423189556efa39f6e04d5e2b347dac6776"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08276",
    "kind": "arxiv",
    "version": 1
  }
}