Pith Number

pith:5UFQIRD2

pith:2018:5UFQIRD2HTFGX33EJ3YB27MZXB

not attested not anchored not stored refs pending

Nehari Manifold for fractional Kirchhoff system with critical nonlinearity

J. Giacomoni, J.M. do \'O, P.K. Mishra

arxiv:1807.11191 v1 · 2018-07-30 · 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{5UFQIRD2HTFGX33EJ3YB27MZXB}

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	2026-05-18T00:09:32.691465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed0b04447a3cca6bef644ef01d7d99b85ab25272aabc2e2a95bdaaa6974103d1

Aliases

arxiv: 1807.11191 · arxiv_version: 1807.11191v1 · doi: 10.48550/arxiv.1807.11191 · pith_short_12: 5UFQIRD2HTFG · pith_short_16: 5UFQIRD2HTFGX33E · pith_short_8: 5UFQIRD2

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/5UFQIRD2HTFGX33EJ3YB27MZXB \
  | 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: ed0b04447a3cca6bef644ef01d7d99b85ab25272aabc2e2a95bdaaa6974103d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e2c8c187df5c6846f602ef5f45a8d7dcc723431fea6cf594f81894b60f4abbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-07-30T06:53:17Z",
    "title_canon_sha256": "663eeec34afb27049041c337596ffbaa5ab6cc83a44508eddc915840f122e153"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11191",
    "kind": "arxiv",
    "version": 1
  }
}