Pith Number

pith:PDEJJIFW

pith:2001:PDEJJIFWRZGUJSYVEXSTRXB5HA

not attested not anchored not stored refs pending

Weighted norm inequalities for Calderon-Zygmund operators without doubling conditions

Xavier Tolsa

arxiv:math/0101192 v2 · 2001-01-23 · 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{PDEJJIFWRZGUJSYVEXSTRXB5HA}

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	2026-05-18T04:10:48.538957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78c894a0b68e4d44cb1525e538dc3d3811d7ec59e2c63d8a0d1b0d260ec45ef9

Aliases

arxiv: math/0101192 · arxiv_version: math/0101192v2 · doi: 10.48550/arxiv.math/0101192 · pith_short_12: PDEJJIFWRZGU · pith_short_16: PDEJJIFWRZGUJSYV · pith_short_8: PDEJJIFW

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/PDEJJIFWRZGUJSYVEXSTRXB5HA \
  | 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: 78c894a0b68e4d44cb1525e538dc3d3811d7ec59e2c63d8a0d1b0d260ec45ef9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d479004a1148935fc6241f1f1821576eefd3db709638bb732336d602bdad2f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2001-01-23T17:00:05Z",
    "title_canon_sha256": "c5e59a868f07ed9a02b4184d2bd676861beaf4fc1e045664bd71ec19b19b9a4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0101192",
    "kind": "arxiv",
    "version": 2
  }
}