Pith Number

pith:XYPIMGLD

pith:2013:XYPIMGLDRXFCLBN2N3JDTT2F63

not attested not anchored not stored refs pending

On $l^p$ -multipliers of functions analytic in the disk

Vladimir Lebedev

arxiv:1303.5384 v5 · 2013-03-21 · 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{XYPIMGLDRXFCLBN2N3JDTT2F63}

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	2026-05-18T02:39:25.758927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be1e8619638dca2585ba6ed239cf45f6d646cf30bfb90d692afafe7a47f853f5

Aliases

arxiv: 1303.5384 · arxiv_version: 1303.5384v5 · doi: 10.48550/arxiv.1303.5384 · pith_short_12: XYPIMGLDRXFC · pith_short_16: XYPIMGLDRXFCLBN2 · pith_short_8: XYPIMGLD

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/XYPIMGLDRXFCLBN2N3JDTT2F63 \
  | 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: be1e8619638dca2585ba6ed239cf45f6d646cf30bfb90d692afafe7a47f853f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f9a4843083286e10941457dc507d98df94ff041992789088cc67dd782aeff7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-03-21T19:45:15Z",
    "title_canon_sha256": "29cf66f5ec3f1822428c5a805d9738f7fc22a84ccfac05b838556b6d28d3e109"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5384",
    "kind": "arxiv",
    "version": 5
  }
}