Pith Number

pith:TLM5ERLF

pith:2013:TLM5ERLFRKTTS4FDL3J6CUY4NA

not attested not anchored not stored refs pending

Uniqueness of radial solutions for the fractional Laplacian

Enno Lenzmann, Luis Silvestre, Rupert L. Frank

arxiv:1302.2652 v2 · 2013-02-11 · math.AP · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TLM5ERLFRKTTS4FDL3J6CUY4NA}

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	2026-05-18T02:20:47.926781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ad9d245658aa73970a35ed3e1531c68281a9934425f94636b03fde6f01c0297

Aliases

arxiv: 1302.2652 · arxiv_version: 1302.2652v2 · doi: 10.48550/arxiv.1302.2652 · pith_short_12: TLM5ERLFRKTT · pith_short_16: TLM5ERLFRKTTS4FD · pith_short_8: TLM5ERLF

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/TLM5ERLFRKTTS4FDL3J6CUY4NA \
  | 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: 9ad9d245658aa73970a35ed3e1531c68281a9934425f94636b03fde6f01c0297

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0233c573df5f17c605a4f609090450eb8d0c32469ccd573cb3cb642a23b913c7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-02-11T21:36:32Z",
    "title_canon_sha256": "f2b4d52c384e5e23fd3ea6bfe34555840c0d866f1576378cca0fe96e668188f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2652",
    "kind": "arxiv",
    "version": 2
  }
}