Pith Number

pith:M5K2W5EH

pith:2014:M5K2W5EHS4UBT4UYZ7GMK7UGWY

not attested not anchored not stored refs pending

Boundedness of non-homogeneous square functions and $L^q$ type testing conditions with $q \in (1,2)$

Henri Martikainen, Mihalis Mourgoglou

arxiv:1401.5457 v1 · 2014-01-21 · 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{M5K2W5EHS4UBT4UYZ7GMK7UGWY}

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	2026-05-18T01:17:05.757729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6755ab7487972819f298cfccc57e86b614a857b21a626a715b1eaeaf9dddc3e8

Aliases

arxiv: 1401.5457 · arxiv_version: 1401.5457v1 · doi: 10.48550/arxiv.1401.5457 · pith_short_12: M5K2W5EHS4UB · pith_short_16: M5K2W5EHS4UBT4UY · pith_short_8: M5K2W5EH

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/M5K2W5EHS4UBT4UYZ7GMK7UGWY \
  | 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: 6755ab7487972819f298cfccc57e86b614a857b21a626a715b1eaeaf9dddc3e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee249d04af0f62b773adc6467c4c4d5ea67ff9c81c87f9ff072f139d38d448d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-01-21T20:44:56Z",
    "title_canon_sha256": "696c921bc5e1a855b09cc5f2f5e5eb6389209b5ae119780fb180b97efa5d8daa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5457",
    "kind": "arxiv",
    "version": 1
  }
}