Pith Number

pith:YRSNFP7S

pith:2012:YRSNFP7SOOVTNJ5PWFSQGTHSCU

not attested not anchored not stored refs pending

Real analyticity of solutions to Schr\"odinger equations involving fractional Laplacians

Anna Dall'Acqua, Edgardo Stockmeyer, S{\o}ren Fournais, Thomas {\O}stergaard S{\o}rensen

arxiv:1209.3885 v2 · 2012-09-18 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YRSNFP7SOOVTNJ5PWFSQGTHSCU}

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	2026-05-18T03:07:54.944040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c464d2bff273ab36a7afb165034cf2151d996dde63a8310c62766fbe9114872a

Aliases

arxiv: 1209.3885 · arxiv_version: 1209.3885v2 · doi: 10.48550/arxiv.1209.3885 · pith_short_12: YRSNFP7SOOVT · pith_short_16: YRSNFP7SOOVTNJ5P · pith_short_8: YRSNFP7S

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/YRSNFP7SOOVTNJ5PWFSQGTHSCU \
  | 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: c464d2bff273ab36a7afb165034cf2151d996dde63a8310c62766fbe9114872a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f193324cd41ec0b364423a17b5185d0aaf0acd456e2354098eb95fee31877e4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-18T09:12:22Z",
    "title_canon_sha256": "e5a7a6db60fd01539b2fe23f9fc30c5bce84f9fe0ec94e55404a733fca948dcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3885",
    "kind": "arxiv",
    "version": 2
  }
}