Pith Number

pith:DDHF2BHU

pith:2014:DDHF2BHU33KR6XZEMKTJLZE4XB

not attested not anchored not stored refs pending

Bifurcation and multiplicity results for critical fractional p-Laplacian problems

Kanishka Perera, Marco Squassina, Yang Yang

arxiv:1407.8061 v3 · 2014-07-30 · 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{DDHF2BHU33KR6XZEMKTJLZE4XB}

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	2026-05-18T02:12:11.434122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18ce5d04f4ded51f5f2462a695e49cb872c0ef20ed227b419df93d018f125244

Aliases

arxiv: 1407.8061 · arxiv_version: 1407.8061v3 · doi: 10.48550/arxiv.1407.8061 · pith_short_12: DDHF2BHU33KR · pith_short_16: DDHF2BHU33KR6XZE · pith_short_8: DDHF2BHU

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/DDHF2BHU33KR6XZEMKTJLZE4XB \
  | 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: 18ce5d04f4ded51f5f2462a695e49cb872c0ef20ed227b419df93d018f125244

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca2f7cfca69eb2880a31e0f4286299d3f66390ca151ef379ea32dfc8fe48ff55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-07-30T14:43:11Z",
    "title_canon_sha256": "096f6179e1f50f11d6963ffeacd0e7682c9cb0622ffdc6a1be1e73492b39975e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.8061",
    "kind": "arxiv",
    "version": 3
  }
}