Pith Number

pith:LXLVOO5O

pith:2016:LXLVOO5O43K75JUXVCLDT7CIRF

not attested not anchored not stored refs pending

Grothendieck-Lidskii trace formula for mixed-norm and variable Lebesgue spaces

Baoxiang Wang, Julio Delgado, Michael Ruzhansky

arxiv:1604.00198 v1 · 2016-04-01 · math.FA · math.OA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LXLVOO5O43K75JUXVCLDT7CIRF}

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	2026-05-18T01:17:54.324871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dd7573baee6d5fea697a89639fc488960358f5b7fbfc5f2faf754a96c1871c8

Aliases

arxiv: 1604.00198 · arxiv_version: 1604.00198v1 · doi: 10.48550/arxiv.1604.00198 · pith_short_12: LXLVOO5O43K7 · pith_short_16: LXLVOO5O43K75JUX · pith_short_8: LXLVOO5O

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/LXLVOO5O43K75JUXVCLDT7CIRF \
  | 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: 5dd7573baee6d5fea697a89639fc488960358f5b7fbfc5f2faf754a96c1871c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "645906a572f118716228d41c119bdacd4ebe04d79279688e8e19ceccd3300f60",
    "cross_cats_sorted": [
      "math.OA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-04-01T10:49:27Z",
    "title_canon_sha256": "e6e8325a70ce87691b2be90b277ee1a2848409e49005ca300ea5dfc0dd649449"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00198",
    "kind": "arxiv",
    "version": 1
  }
}