Pith Number

pith:UZHZJITI

pith:2014:UZHZJITID4PDCWPLSKCPKB4GJC

not attested not anchored not stored refs pending

Multiplicity of multi-bump type nodal solutions for a class of elliptic problems with exponential critical growth in $\mathbb{R}^2$

Claudianor O. Alves, Denilson S. Pereira

arxiv:1412.4219 v1 · 2014-12-13 · 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{UZHZJITID4PDCWPLSKCPKB4GJC}

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	2026-05-18T02:31:19.865386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a64f94a2681f1e3159eb9284f5078648a9cb86e31fbc1672aaad5d4571fa7830

Aliases

arxiv: 1412.4219 · arxiv_version: 1412.4219v1 · doi: 10.48550/arxiv.1412.4219 · pith_short_12: UZHZJITID4PD · pith_short_16: UZHZJITID4PDCWPL · pith_short_8: UZHZJITI

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/UZHZJITID4PDCWPLSKCPKB4GJC \
  | 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: a64f94a2681f1e3159eb9284f5078648a9cb86e31fbc1672aaad5d4571fa7830

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14cf65fdf31a723c953d0f25ead8625256990a9c9975efad50a391633b73ea0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-12-13T10:07:24Z",
    "title_canon_sha256": "dcc6612ccc5e92659337ddb534cd9d646438f619467e3562f70b22cc225eb11e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4219",
    "kind": "arxiv",
    "version": 1
  }
}