Pith Number

pith:DG7R6KOT

pith:2018:DG7R6KOT2EJDTO2776CC5L73VQ

not attested not anchored not stored refs pending

Centered Hardy--Littlewood maximal operator on the real line: lower bounds

Paata Ivanisvili, Samuel Zbarsky

arxiv:1807.04399 v2 · 2018-07-12 · 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{DG7R6KOT2EJDTO2776CC5L73VQ}

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	2026-05-17T23:40:14.085612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19bf1f29d3d11239bb5fff842eaffbac1259d859f972bfb3dabd52af1d4f9c9d

Aliases

arxiv: 1807.04399 · arxiv_version: 1807.04399v2 · doi: 10.48550/arxiv.1807.04399 · pith_short_12: DG7R6KOT2EJD · pith_short_16: DG7R6KOT2EJDTO27 · pith_short_8: DG7R6KOT

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/DG7R6KOT2EJDTO2776CC5L73VQ \
  | 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: 19bf1f29d3d11239bb5fff842eaffbac1259d859f972bfb3dabd52af1d4f9c9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12d2a40784032cceef3d764c8f8d95bee0ea8f4198cb1fa2da6cf1616da00226",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-07-12T02:11:27Z",
    "title_canon_sha256": "614582410a0cf67c488b421028d403def01362a1d1c079e293b2c5258e0a11a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.04399",
    "kind": "arxiv",
    "version": 2
  }
}