Pith Number

pith:IBE54EWI

pith:2016:IBE54EWIKPOO3K2QYLTSL7KXZM

not attested not anchored not stored refs pending

Multiplicity results of fractional $p$-Laplace equations with sign-changing and singular nonlinearity

Sarika Goyal

arxiv:1604.00801 v1 · 2016-04-04 · 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{IBE54EWIKPOO3K2QYLTSL7KXZM}

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	2026-05-18T01:17:48.239353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4049de12c853dcedab50c2e725fd57cb332a2bce07c14e1245d0cfdc589d3858

Aliases

arxiv: 1604.00801 · arxiv_version: 1604.00801v1 · doi: 10.48550/arxiv.1604.00801 · pith_short_12: IBE54EWIKPOO · pith_short_16: IBE54EWIKPOO3K2Q · pith_short_8: IBE54EWI

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/IBE54EWIKPOO3K2QYLTSL7KXZM \
  | 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: 4049de12c853dcedab50c2e725fd57cb332a2bce07c14e1245d0cfdc589d3858

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "874c0f6b3f1c171fe453fe6764a584343564def3fb382de04e64619ee5153758",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-04T10:18:12Z",
    "title_canon_sha256": "c3b4829b613c4dd6138fca2d2ab1a4f93bd1ac2f6816fedcbd971d86e1642042"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00801",
    "kind": "arxiv",
    "version": 1
  }
}