Pith Number

pith:2YFAYJOZ

pith:2012:2YFAYJOZHIPM4CCYHLL75XPP66

not attested not anchored not stored refs pending

Landesman-Lazer conditions at half-eigenvalues of the p-Laplacian

Bryan P. Rynne, Fran\c{c}ois Genoud

arxiv:1207.2489 v1 · 2012-07-10 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2YFAYJOZHIPM4CCYHLL75XPP66}

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	2026-05-18T03:24:41.872234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d60a0c25d93a1ece08583ad7feddeff780a43d53d646b6f584f4e07ed44caa9f

Aliases

arxiv: 1207.2489 · arxiv_version: 1207.2489v1 · doi: 10.48550/arxiv.1207.2489 · pith_short_12: 2YFAYJOZHIPM · pith_short_16: 2YFAYJOZHIPM4CCY · pith_short_8: 2YFAYJOZ

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/2YFAYJOZHIPM4CCYHLL75XPP66 \
  | 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: d60a0c25d93a1ece08583ad7feddeff780a43d53d646b6f584f4e07ed44caa9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d8573961a59e54a3fec25885768980ed4b922b8d99bfc20eeaa3d46bb554f3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-07-10T20:54:22Z",
    "title_canon_sha256": "9a4581fe177dbcc414c03a9961797f5b0e20596abf2e04ff8828c364e94f0e12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2489",
    "kind": "arxiv",
    "version": 1
  }
}