Pith Number

pith:2VWFMMXY

pith:2014:2VWFMMXY7XAFC7GU7WTALSB6A6

not attested not anchored not stored refs pending

Fractional operators with singular drift: Smoothing properties and Morrey-Campanato spaces

Diego Chamorro (LaMME), St\'ephane Menozzi (LaMME)

arxiv:1412.7483 v2 · 2014-12-23 · math.AP · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2VWFMMXY7XAFC7GU7WTALSB6A6}

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	2026-05-18T01:23:24.606227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d56c5632f8fdc0517cd4fda605c83e07a7b6fec564d647309c91de98d8cb1106

Aliases

arxiv: 1412.7483 · arxiv_version: 1412.7483v2 · doi: 10.48550/arxiv.1412.7483 · pith_short_12: 2VWFMMXY7XAF · pith_short_16: 2VWFMMXY7XAFC7GU · pith_short_8: 2VWFMMXY

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/2VWFMMXY7XAFC7GU7WTALSB6A6 \
  | 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: d56c5632f8fdc0517cd4fda605c83e07a7b6fec564d647309c91de98d8cb1106

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24aa9b1333b73ada61aa5c241e75fc167fa516fa018bdb4323fb9babec97d6c0",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-12-23T19:36:09Z",
    "title_canon_sha256": "f4c13318482462094c9f8218c4e1dbcadc94b36b75b1671e938dafeac32563e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7483",
    "kind": "arxiv",
    "version": 2
  }
}