Pith Number

pith:SQK4HGHL

pith:2014:SQK4HGHLX76PAXWDKAQRCUVHLY

not attested not anchored not stored refs pending

Bifurcation results for a fractional elliptic equation with critical exponent in R^n

Enrico Valdinoci, Ireneo Peral, Maria Medina, Serena Dipierro

arxiv:1410.3076 v5 · 2014-10-12 · 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{SQK4HGHLX76PAXWDKAQRCUVHLY}

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	2026-05-18T01:13:05.192553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9415c398ebbffcf05ec350211152a75e380ac47bec50faf6955485b443892260

Aliases

arxiv: 1410.3076 · arxiv_version: 1410.3076v5 · doi: 10.48550/arxiv.1410.3076 · pith_short_12: SQK4HGHLX76P · pith_short_16: SQK4HGHLX76PAXWD · pith_short_8: SQK4HGHL

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/SQK4HGHLX76PAXWDKAQRCUVHLY \
  | 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: 9415c398ebbffcf05ec350211152a75e380ac47bec50faf6955485b443892260

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19fa302c1675825be43ac4e6f55d2cc9690735dbece2ea14b261800ff20b3bf6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-10-12T10:27:37Z",
    "title_canon_sha256": "4e83cfb82b526742f9c6bb517589dc321a1733b1e16b77da155a2c1079cf2e8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3076",
    "kind": "arxiv",
    "version": 5
  }
}