Pith Number

pith:62WT5PKD

pith:2013:62WT5PKD6GQIFHG6AOBIHPWUQF

not attested not anchored not stored refs pending

Logarithmic bump conditions for Calder\'on-Zygmund Operators on spaces of homogeneous type

David Cruz-Uribe, Kabe Moen, Theresa C. Anderson

arxiv:1308.2026 v1 · 2013-08-09 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{62WT5PKD6GQIFHG6AOBIHPWUQF}

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	2026-05-18T03:16:18.430019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6ad3ebd43f1a0829cde038283bed48143fee2fa1e33088365598a30ebffefb5

Aliases

arxiv: 1308.2026 · arxiv_version: 1308.2026v1 · doi: 10.48550/arxiv.1308.2026 · pith_short_12: 62WT5PKD6GQI · pith_short_16: 62WT5PKD6GQIFHG6 · pith_short_8: 62WT5PKD

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/62WT5PKD6GQIFHG6AOBIHPWUQF \
  | 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: f6ad3ebd43f1a0829cde038283bed48143fee2fa1e33088365598a30ebffefb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5243856c395d6b854d71729cc65b1718bc4d82b25553805ea5ab2440aa6c3ee8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-08-09T03:18:38Z",
    "title_canon_sha256": "68071eecb2ebcc7cc452ea95af0808df2ab63af9ba0e0f8fcd0bfe29ff3826b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2026",
    "kind": "arxiv",
    "version": 1
  }
}