Pith Number

pith:MXU6BKGB

pith:2015:MXU6BKGB6XCFYRH7VLGS5PAEMO

not attested not anchored not stored refs pending

On the Boundedness of Multilinear Fractional Strong Maximal Operator with multiple weights

Kozo Yabuta, Mingming Cao, Qingying Xue

arxiv:1512.08681 v1 · 2015-12-29 · math.CA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXU6BKGB6XCFYRH7VLGS5PAEMO}

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	2026-05-18T01:23:35.112783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65e9e0a8c1f5c45c44ffaacd2ebc04638559e89f005e7bcfd1f8cd94f4b15b4b

Aliases

arxiv: 1512.08681 · arxiv_version: 1512.08681v1 · doi: 10.48550/arxiv.1512.08681 · pith_short_12: MXU6BKGB6XCF · pith_short_16: MXU6BKGB6XCFYRH7 · pith_short_8: MXU6BKGB

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/MXU6BKGB6XCFYRH7VLGS5PAEMO \
  | 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: 65e9e0a8c1f5c45c44ffaacd2ebc04638559e89f005e7bcfd1f8cd94f4b15b4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37bfba82a60a98fc9c5229c04f10b3e0da5b5745fd07a81db89025961f48f842",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-12-29T13:43:55Z",
    "title_canon_sha256": "e6f1bb5ebe739386913ddbbdfcc7a3d67f0ee5f817e77fd4aff05437bae8d056"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08681",
    "kind": "arxiv",
    "version": 1
  }
}