Pith Number

pith:XSSBWJGG

pith:2012:XSSBWJGGFTPFPYK63L2KYOFJZZ

not attested not anchored not stored refs pending

On fractional Schr\"odinger equations in (\mathbb{R}^N) without the Ambrosetti-Rabinowitz condition

Simone Secchi

arxiv:1210.0755 v2 · 2012-10-02 · 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{XSSBWJGGFTPFPYK63L2KYOFJZZ}

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	2026-05-18T02:59:30.675634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bca41b24c62cde57e15edaf4ac38a9ce5e4901fdf665452cb679130fd1bea2dd

Aliases

arxiv: 1210.0755 · arxiv_version: 1210.0755v2 · doi: 10.48550/arxiv.1210.0755 · pith_short_12: XSSBWJGGFTPF · pith_short_16: XSSBWJGGFTPFPYK6 · pith_short_8: XSSBWJGG

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/XSSBWJGGFTPFPYK63L2KYOFJZZ \
  | 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: bca41b24c62cde57e15edaf4ac38a9ce5e4901fdf665452cb679130fd1bea2dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e381955b668b5edd8681a3f3bda69a5cf8ddd73e52621f5e1f5cc2fdca032780",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-02T12:48:52Z",
    "title_canon_sha256": "08d42b9a5cf1d0234da78613eec0c8f44822203e168de40c43ef306a0a373e26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0755",
    "kind": "arxiv",
    "version": 2
  }
}