Pith Number

pith:SSBVF7P3

pith:2022:SSBVF7P3FJ2BRGYXQXAC242AIH

not attested not anchored not stored refs pending

Fixed points of the uncentered Hardy-Littlewood maximal operator

Wu-Yi Pan

arxiv:2211.15147 v1 · 2022-11-28 · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SSBVF7P3FJ2BRGYXQXAC242AIH}

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.

Cited by

1 paper in Pith

Optimizing RAG Pipelines for Arabic: A Systematic Analysis of Core Components

Receipt and verification

First computed	2026-07-05T05:20:00.056108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

948352fdfb2a74189b1785c02d734041cdbc3099e2034f88b1015b0ae84e659c

Aliases

arxiv: 2211.15147 · arxiv_version: 2211.15147v1 · doi: 10.48550/arxiv.2211.15147 · pith_short_12: SSBVF7P3FJ2B · pith_short_16: SSBVF7P3FJ2BRGYX · pith_short_8: SSBVF7P3

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/SSBVF7P3FJ2BRGYXQXAC242AIH \
  | 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: 948352fdfb2a74189b1785c02d734041cdbc3099e2034f88b1015b0ae84e659c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb6c2524fc00fcc6391608d28c9796f894d76de22bdc4fc14c0c4466004f3d4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2022-11-28T08:58:37Z",
    "title_canon_sha256": "7edf2e8a63feed090ac0d95f4d62b500be97c3d8b4ddb28f7d8e09f9ce907afe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.15147",
    "kind": "arxiv",
    "version": 1
  }
}