Pith Number

pith:4OJMYQKO

pith:2017:4OJMYQKODVWQVB3CYX2VSH36HC

not attested not anchored not stored refs pending

A weak type estimate for rough singular integrals

Andrei K. Lerner

arxiv:1705.07397 v1 · 2017-05-21 · 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{4OJMYQKODVWQVB3CYX2VSH36HC}

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	2026-05-18T00:44:05.723164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e392cc414e1d6d0a8762c5f5591f7e38b27335a44e8789d32742e6ba575c710e

Aliases

arxiv: 1705.07397 · arxiv_version: 1705.07397v1 · doi: 10.48550/arxiv.1705.07397 · pith_short_12: 4OJMYQKODVWQ · pith_short_16: 4OJMYQKODVWQVB3C · pith_short_8: 4OJMYQKO

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/4OJMYQKODVWQVB3CYX2VSH36HC \
  | 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: e392cc414e1d6d0a8762c5f5591f7e38b27335a44e8789d32742e6ba575c710e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3307719452cc11ea947f863f509dca27dac4d80db716bd7e4d8d8d70df89a4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-05-21T05:09:19Z",
    "title_canon_sha256": "432abe39f181724afac7034dfd581d7e74d9bfff0439249171bca017af3d66bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07397",
    "kind": "arxiv",
    "version": 1
  }
}