Pith Number

pith:DVQP5G7K

pith:2013:DVQP5G7KDYNWQZFELI24LKVWBX

not attested not anchored not stored refs pending

Some estimates for imaginary powers of the Laplace operator in variable Lebesgue spaces and applications

Alberto Fiorenza, Amiran Gogatishvili, Tengiz Kopaliani

arxiv:1304.6853 v2 · 2013-04-25 · math.AP · 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{DVQP5G7KDYNWQZFELI24LKVWBX}

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	2026-05-18T03:03:54.817000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d60fe9bea1e1b6864a45a35c5aab60dd6475b617c7f09f1cc7e23dffa1ab203

Aliases

arxiv: 1304.6853 · arxiv_version: 1304.6853v2 · doi: 10.48550/arxiv.1304.6853 · pith_short_12: DVQP5G7KDYNW · pith_short_16: DVQP5G7KDYNWQZFE · pith_short_8: DVQP5G7K

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/DVQP5G7KDYNWQZFELI24LKVWBX \
  | 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: 1d60fe9bea1e1b6864a45a35c5aab60dd6475b617c7f09f1cc7e23dffa1ab203

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c90b0f876e3b391045837730aeeec77be110d0cc70b2a79a60501730031302f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-25T09:52:53Z",
    "title_canon_sha256": "69f8a1aa4b9065ca6a5dfc091ca4a3c398695f89d77bc5ce8c4195fddb20ba84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6853",
    "kind": "arxiv",
    "version": 2
  }
}