Pith Number

pith:W6PAKCI2

pith:2013:W6PAKCI2JTDDE7A6N4AOJMQXV6

not attested not anchored not stored refs pending

Characterization of a Two Weight Inequality for Multilinear Fractional Maximal Operators

Kangwei Li, Wenchang Sun

arxiv:1305.4267 v3 · 2013-05-18 · 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{W6PAKCI2JTDDE7A6N4AOJMQXV6}

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	2026-05-18T00:39:16.218486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b79e05091a4cc6327c1e6f00e4b217afa9a26fd2d624d969759be2090ef0056e

Aliases

arxiv: 1305.4267 · arxiv_version: 1305.4267v3 · doi: 10.48550/arxiv.1305.4267 · pith_short_12: W6PAKCI2JTDD · pith_short_16: W6PAKCI2JTDDE7A6 · pith_short_8: W6PAKCI2

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/W6PAKCI2JTDDE7A6N4AOJMQXV6 \
  | 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: b79e05091a4cc6327c1e6f00e4b217afa9a26fd2d624d969759be2090ef0056e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8e0a91ec47e137d59d21c15eca2af5e2e8ec737454386f260a37f587cd9af7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-05-18T14:03:54Z",
    "title_canon_sha256": "0726ecc4a78b11bb0212276d20e09a674b183a1edf7bc83e16e9d205c68af594"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4267",
    "kind": "arxiv",
    "version": 3
  }
}