Pith Number

pith:J5BJC2GI

pith:2014:J5BJC2GIOZWDPVDTQBZ4ICJ3CW

not attested not anchored not stored refs pending

Multiplicity of solutions of some quasilinear equations in ${\mathbb{R}^{N}}$ with variable exponents and concave-convex nonlinearities

Claudianor O. Alves, Jos\'e L. P. Barreiro, Jos\'e V. A. Gon\c{c}alves

arxiv:1409.0910 v1 · 2014-09-02 · 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{J5BJC2GIOZWDPVDTQBZ4ICJ3CW}

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	2026-05-18T02:43:44.790908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f429168c8766c37d4738073c4093b15bb34c39a2b85ec281f064d352bfa1d74

Aliases

arxiv: 1409.0910 · arxiv_version: 1409.0910v1 · doi: 10.48550/arxiv.1409.0910 · pith_short_12: J5BJC2GIOZWD · pith_short_16: J5BJC2GIOZWDPVDT · pith_short_8: J5BJC2GI

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/J5BJC2GIOZWDPVDTQBZ4ICJ3CW \
  | 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: 4f429168c8766c37d4738073c4093b15bb34c39a2b85ec281f064d352bfa1d74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e69b3fc200b16f3a137caca8da3214e5dfe8586e9d84241375924c10e87920b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-09-02T22:50:20Z",
    "title_canon_sha256": "d294e960a6bdb7f0f925173c5ec9df10a1a346a14fa3126ed829a68da61fce21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0910",
    "kind": "arxiv",
    "version": 1
  }
}