Pith Number

pith:EKJKL4PB

pith:2011:EKJKL4PBCE5XMUSVAM46YYQM7I

not attested not anchored not stored refs pending

Hitchhiker's guide to the fractional Sobolev spaces

Eleonora Di Nezza, Enrico Valdinoci, Giampiero Palatucci

arxiv:1104.4345 v3 · 2011-04-21 · math.FA · 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{EKJKL4PBCE5XMUSVAM46YYQM7I}

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.

Cited by

2 papers in Pith

Higher-Rank Connections and Deformed Schr\"odinger Operators

Neural Spectral Bias and Conformal Correlators I: Introduction and Applications

Receipt and verification

First computed	2026-05-18T04:08:03.741446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2292a5f1e1113b7652550339ec620cfa087bddcbfadc0e5bde1bc76bea250539

Aliases

arxiv: 1104.4345 · arxiv_version: 1104.4345v3 · doi: 10.48550/arxiv.1104.4345 · pith_short_12: EKJKL4PBCE5X · pith_short_16: EKJKL4PBCE5XMUSV · pith_short_8: EKJKL4PB

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/EKJKL4PBCE5XMUSVAM46YYQM7I \
  | 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: 2292a5f1e1113b7652550339ec620cfa087bddcbfadc0e5bde1bc76bea250539

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "310889110703d4b21377154630937c5408590f937d0d534c9ac5ab415ab3bdbe",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-04-21T15:18:50Z",
    "title_canon_sha256": "706a20986990aa75d6a03a03306f7ce59efb5693fe0bc91a5f443a3fdb693bc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4345",
    "kind": "arxiv",
    "version": 3
  }
}