Pith Number

pith:5SQSJEPG

pith:2024:5SQSJEPGEROELLEJNFHQQWCG3F

not attested not anchored not stored refs pending

Complex median method and Schatten class membership of commutators

Hao Zhang, Zhenguo Wei

arxiv:2411.05810 v2 · 2024-10-30 · 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{5SQSJEPGEROELLEJNFHQQWCG3F}

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.

Cited by

1 paper in Pith

Schatten properties of commutators on metric spaces

Receipt and verification

First computed	2026-07-05T09:34:39.643641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eca12491e6245c45ac89694f085846d964d446de0fb6bd0692f1826c3a973416

Aliases

arxiv: 2411.05810 · arxiv_version: 2411.05810v2 · doi: 10.48550/arxiv.2411.05810 · pith_short_12: 5SQSJEPGEROE · pith_short_16: 5SQSJEPGEROELLEJ · pith_short_8: 5SQSJEPG

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/5SQSJEPGEROELLEJNFHQQWCG3F \
  | 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: eca12491e6245c45ac89694f085846d964d446de0fb6bd0692f1826c3a973416

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0645a32f6c7836d3e36b1893aac7614f34857f1838947ab28450ea2707d64499",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-10-30T21:29:22Z",
    "title_canon_sha256": "cb1808d69d617849394a30777e0e83b03cd060ba4d823c4855fb59028a8476d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.05810",
    "kind": "arxiv",
    "version": 2
  }
}