Pith Number

pith:6GJPQL2G

pith:2012:6GJPQL2GYFEJJL3B264D5KPC4N

not attested not anchored not stored refs pending

On an estimate of Calder\'on-Zygmund operators by dyadic positive operators

Andrei K. Lerner

arxiv:1202.1860 v3 · 2012-02-09 · 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{6GJPQL2GYFEJJL3B264D5KPC4N}

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	2026-05-18T04:02:01.553409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f192f82f46c14894af61d7b83ea9e2e345f3d11b048899fb4ec5482be0e4e64e

Aliases

arxiv: 1202.1860 · arxiv_version: 1202.1860v3 · doi: 10.48550/arxiv.1202.1860 · pith_short_12: 6GJPQL2GYFEJ · pith_short_16: 6GJPQL2GYFEJJL3B · pith_short_8: 6GJPQL2G

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/6GJPQL2GYFEJJL3B264D5KPC4N \
  | 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: f192f82f46c14894af61d7b83ea9e2e345f3d11b048899fb4ec5482be0e4e64e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41f85bfa5ef4cdec99c4e691f583cffecb3162e8aec67bb75a23d5ab9a0fd677",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-02-09T00:29:58Z",
    "title_canon_sha256": "e171fa73c4e13b31d6bc56d96a6dd19bc9034e482e5466828373deaa565bdda0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1860",
    "kind": "arxiv",
    "version": 3
  }
}