Pith Number

pith:JZFUVU3J

pith:2016:JZFUVU3JLHH6XMTKHRONFWSDMC

not attested not anchored not stored refs pending

The action of Volterra integral operators with highly singular kernels on H\"older continuous, Lebesgue and Sobolev functions

Alberto Fiorenza, Lorenzo Tentarelli, Raffaele Carlone

arxiv:1611.08503 v2 · 2016-11-25 · math.AP · math-ph · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JZFUVU3JLHH6XMTKHRONFWSDMC}

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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	2026-05-17T23:54:48.815800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e4b4ad36959cfebb26a3c5cd2da4360891a681c6a3afb8d618ae1ed04c33dd7

Aliases

arxiv: 1611.08503 · arxiv_version: 1611.08503v2 · doi: 10.48550/arxiv.1611.08503 · pith_short_12: JZFUVU3JLHH6 · pith_short_16: JZFUVU3JLHH6XMTK · pith_short_8: JZFUVU3J

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/JZFUVU3JLHH6XMTKHRONFWSDMC \
  | 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: 4e4b4ad36959cfebb26a3c5cd2da4360891a681c6a3afb8d618ae1ed04c33dd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1662998dd5d9527734b9f062f77f0f4abb0dd8e1bbba5536e8c8527ef6f9f326",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-25T16:06:22Z",
    "title_canon_sha256": "c992e9a3919104a9f2b36849835bfb569fc31a0b5c8a29b5205877da9d7d1a17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08503",
    "kind": "arxiv",
    "version": 2
  }
}