Pith Number

pith:LJOVGSSX

pith:2011:LJOVGSSXOMRKHSHFVMGCVYLLMX

not attested not anchored not stored refs pending

Two-weight norm inequalities for potential type and maximal operators in a metric space

Anna Kairema

arxiv:1105.2661 v8 · 2011-05-13 · 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{LJOVGSSXOMRKHSHFVMGCVYLLMX}

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	2026-05-18T03:37:41.857752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a5d534a577322a3c8e5ab0c2ae16b65cc0325c203fce4d56cb9db75719b8469

Aliases

arxiv: 1105.2661 · arxiv_version: 1105.2661v8 · doi: 10.48550/arxiv.1105.2661 · pith_short_12: LJOVGSSXOMRK · pith_short_16: LJOVGSSXOMRKHSHF · pith_short_8: LJOVGSSX

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/LJOVGSSXOMRKHSHFVMGCVYLLMX \
  | 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: 5a5d534a577322a3c8e5ab0c2ae16b65cc0325c203fce4d56cb9db75719b8469

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa3e7835730626cb16b34afe63e872d4ccbbb3eb78d253c238131ebec80110e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-05-13T08:45:14Z",
    "title_canon_sha256": "f7886ec50700975430c882937e773ed4a813ba1fb1b9ba1305589e0cb6b3f820"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2661",
    "kind": "arxiv",
    "version": 8
  }
}