Pith Number

pith:4QM3ACSM

pith:2019:4QM3ACSMZZHUXX7YNMQPGC2NCO

not attested not anchored not stored refs pending

Some remarks on the pointwise sparse domination

Andrei K. Lerner, Sheldy Ombrosi

arxiv:1901.00195 v1 · 2019-01-01 · 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{4QM3ACSMZZHUXX7YNMQPGC2NCO}

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	2026-05-17T23:57:06.735004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e419b00a4cce4f4bdff86b20f30b4d139cb85186c6a3f33ea05b349ee65bb48e

Aliases

arxiv: 1901.00195 · arxiv_version: 1901.00195v1 · doi: 10.48550/arxiv.1901.00195 · pith_short_12: 4QM3ACSMZZHU · pith_short_16: 4QM3ACSMZZHUXX7Y · pith_short_8: 4QM3ACSM

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/4QM3ACSMZZHUXX7YNMQPGC2NCO \
  | 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: e419b00a4cce4f4bdff86b20f30b4d139cb85186c6a3f33ea05b349ee65bb48e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c295b00ac55354fed948f27df255bae9370f657de298d309c617816e47f2617c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-01-01T18:37:32Z",
    "title_canon_sha256": "e960cfd6f984d14851f0ddb747a6c8a9bf8ac1da8a11ccb533afc238df86f442"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00195",
    "kind": "arxiv",
    "version": 1
  }
}