Pith Number

pith:MJM3JONR

pith:2012:MJM3JONR277A5ILHT4B6O2K7LA

not attested not anchored not stored refs pending

Existence and symmetry results for a Schr\"odinger type problem involving the fractional Laplacian

Enrico Valdinoci, Giampiero Palatucci, Serena Dipierro

arxiv:1202.0576 v1 · 2012-02-02 · 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{MJM3JONR277A5ILHT4B6O2K7LA}

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	2026-05-18T03:42:23.937838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6259b4b9b1d7fe0ea1679f03e7695f581893d9f46eb3401929eca5266ce9c408

Aliases

arxiv: 1202.0576 · arxiv_version: 1202.0576v1 · doi: 10.48550/arxiv.1202.0576 · pith_short_12: MJM3JONR277A · pith_short_16: MJM3JONR277A5ILH · pith_short_8: MJM3JONR

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/MJM3JONR277A5ILHT4B6O2K7LA \
  | 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: 6259b4b9b1d7fe0ea1679f03e7695f581893d9f46eb3401929eca5266ce9c408

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fda67c654ca7edadf113b4b6e3f62af6c15c18c234c23db237751760ff26c335",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-02T22:24:34Z",
    "title_canon_sha256": "9c9acf0ceb2cd79e9765670c82e77871eb16a79d751a12359379a3f62006604e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0576",
    "kind": "arxiv",
    "version": 1
  }
}