Pith Number

pith:ZWGH5BPL

pith:2011:ZWGH5BPLWJKDHOUA6RZJJSQB5N

not attested not anchored not stored refs pending

$C^1$-smoothness of Nemytskii operators on Sobolev-type spaces of periodic functions

Irina Kmit

arxiv:1107.4484 v2 · 2011-07-22 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZWGH5BPLWJKDHOUA6RZJJSQB5N}

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	2026-05-18T04:07:07.774006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd8c7e85ebb25433ba80f47294ca01eb491639fc86bda124246810beeaf3ee9f

Aliases

arxiv: 1107.4484 · arxiv_version: 1107.4484v2 · doi: 10.48550/arxiv.1107.4484 · pith_short_12: ZWGH5BPLWJKD · pith_short_16: ZWGH5BPLWJKDHOUA · pith_short_8: ZWGH5BPL

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/ZWGH5BPLWJKDHOUA6RZJJSQB5N \
  | 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: cd8c7e85ebb25433ba80f47294ca01eb491639fc86bda124246810beeaf3ee9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "427b15360cc50e8b95d8b166498f8dd46062a170b3791f9446508e998b9ac2ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-07-22T11:31:30Z",
    "title_canon_sha256": "dff93851372c58c30aae0381c61b01e8bfe6ad2f291f7cfb973cb04774b55483"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4484",
    "kind": "arxiv",
    "version": 2
  }
}