Pith Number

pith:XE4EQTFK

pith:2013:XE4EQTFKLA7BHRZ6WHJGLERXHS

not attested not anchored not stored refs pending

Musielak-Orlicz-Hardy Spaces Associated with Operators Satisfying Reinforced Off-Diagonal Estimates

Dachun Yang, Jun Cao, Luong Dang Ky, Sibei Yang, The Anh Bui

arxiv:1303.0057 v1 · 2013-03-01 · math.CA · 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{XE4EQTFKLA7BHRZ6WHJGLERXHS}

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	2026-05-18T03:32:06.978300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b938484caa583e13c73eb1d26592373cb693f93bacf05d8ad9297fa1ff469c49

Aliases

arxiv: 1303.0057 · arxiv_version: 1303.0057v1 · doi: 10.48550/arxiv.1303.0057 · pith_short_12: XE4EQTFKLA7B · pith_short_16: XE4EQTFKLA7BHRZ6 · pith_short_8: XE4EQTFK

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/XE4EQTFKLA7BHRZ6WHJGLERXHS \
  | 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: b938484caa583e13c73eb1d26592373cb693f93bacf05d8ad9297fa1ff469c49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e416072a89affc4ce158585d54bc7a4dd0b50663e4624bc8c029058e9b68572",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-03-01T00:21:49Z",
    "title_canon_sha256": "116c019b25bab40fa37b601799007d0998abadf98025ce438210303039cde0cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0057",
    "kind": "arxiv",
    "version": 1
  }
}