Pith Number

pith:I5L5VQJP

pith:2017:I5L5VQJPIFV7RN7BAITSV3RIYJ

not attested not anchored not stored refs pending

Commutators of singular integrals revisited

Andrei K. Lerner, Israel P. Rivera-R\'ios, Sheldy Ombrosi

arxiv:1709.04724 v1 · 2017-09-14 · 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{I5L5VQJPIFV7RN7BAITSV3RIYJ}

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	2026-05-18T00:00:45.945297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4757dac12f416bf8b7e102272aee28c27736db42c51e26216feea881b68cd0e2

Aliases

arxiv: 1709.04724 · arxiv_version: 1709.04724v1 · doi: 10.48550/arxiv.1709.04724 · pith_short_12: I5L5VQJPIFV7 · pith_short_16: I5L5VQJPIFV7RN7B · pith_short_8: I5L5VQJP

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/I5L5VQJPIFV7RN7BAITSV3RIYJ \
  | 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: 4757dac12f416bf8b7e102272aee28c27736db42c51e26216feea881b68cd0e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "084a2016d2a23fdd55a9c48360ebd7a0c056968e317492d7f6d47d65ce6decbe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-09-14T12:10:39Z",
    "title_canon_sha256": "1ddddf55ba9453133b393e1f0f6e578d78c06168e347ae0865d65a28167d8bf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04724",
    "kind": "arxiv",
    "version": 1
  }
}