Pith Number

pith:I26VAXQV

pith:2013:I26VAXQVXTV6NV5VEH7TTTML4A

not attested not anchored not stored refs pending

Weighted norm inequalities for fractional maximal operators--a Bellman function approach

Adam Osekowski, Rodrigo Banuelos

arxiv:1311.6025 v1 · 2013-11-23 · math.CA · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I26VAXQVXTV6NV5VEH7TTTML4A}

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	2026-05-18T03:06:20.814149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46bd505e15bcebe6d7b521ff39cd8be017a8374bdc05a08dd91161895b6a447f

Aliases

arxiv: 1311.6025 · arxiv_version: 1311.6025v1 · doi: 10.48550/arxiv.1311.6025 · pith_short_12: I26VAXQVXTV6 · pith_short_16: I26VAXQVXTV6NV5V · pith_short_8: I26VAXQV

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/I26VAXQVXTV6NV5VEH7TTTML4A \
  | 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: 46bd505e15bcebe6d7b521ff39cd8be017a8374bdc05a08dd91161895b6a447f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02e47f5b0d4cd84888e2ccb7ba8214fdc7c7c6dccd72d8c7b10dcc4334e9f065",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-11-23T17:34:33Z",
    "title_canon_sha256": "9b7a71155bbf2a049574fd6976707518ece02f5b6363ec68c3f867267846a1bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6025",
    "kind": "arxiv",
    "version": 1
  }
}