Pith Number

pith:CNXZ6JVU

pith:2009:CNXZ6JVU6S2FFFWKJ2AN2BKQOG

not attested not anchored not stored refs pending

On Gaussian Lipschitz spaces and the boundedness of Fractional Integrals and Fractional Derivatives on them

A. Eduardo Gatto, Wilfredo Urbina

arxiv:0911.3962 v3 · 2009-11-20 · math.CA · 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{CNXZ6JVU6S2FFFWKJ2AN2BKQOG}

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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	2026-05-18T04:01:26.653444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

136f9f26b4f4b45296ca4e80dd05507190c17c9cb1304546c9abc6721d626cb4

Aliases

arxiv: 0911.3962 · arxiv_version: 0911.3962v3 · doi: 10.48550/arxiv.0911.3962 · pith_short_12: CNXZ6JVU6S2F · pith_short_16: CNXZ6JVU6S2FFFWK · pith_short_8: CNXZ6JVU

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/CNXZ6JVU6S2FFFWKJ2AN2BKQOG \
  | 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: 136f9f26b4f4b45296ca4e80dd05507190c17c9cb1304546c9abc6721d626cb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d760700abe5d2e9f92fc3326dd3a6933ae13d3464dea5a36b9495781a54b5035",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-11-20T04:40:15Z",
    "title_canon_sha256": "c68e9471c9fdd2dadfe7261bad103b1fd0ffef55c98f0b0dc0f7d452e85c4633"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3962",
    "kind": "arxiv",
    "version": 3
  }
}