Pith Number

pith:E7CJ5WLE

pith:2012:E7CJ5WLEEC7JBGNC6JWX3ILPWW

not attested not anchored not stored refs pending

Intrinsic square functions on functions spaces including weighted Morrey spaces

Justin Feuto

arxiv:1205.0129 v3 · 2012-05-01 · 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{E7CJ5WLEEC7JBGNC6JWX3ILPWW}

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	2026-05-18T03:27:54.764778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27c49ed96420be9099a2f26d7da16fb59bf6cfaf5c7946c4345b11c673bd7a94

Aliases

arxiv: 1205.0129 · arxiv_version: 1205.0129v3 · doi: 10.48550/arxiv.1205.0129 · pith_short_12: E7CJ5WLEEC7J · pith_short_16: E7CJ5WLEEC7JBGNC · pith_short_8: E7CJ5WLE

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/E7CJ5WLEEC7JBGNC6JWX3ILPWW \
  | 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: 27c49ed96420be9099a2f26d7da16fb59bf6cfaf5c7946c4345b11c673bd7a94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "949c676a6890a7b769debce99bbdbb2623255fb281b4ce926043b1fce6a7e62d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-05-01T10:39:13Z",
    "title_canon_sha256": "fbf8c903ba249f980976a550c5cc1df04ff174bb6d01457da78761c0748806f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0129",
    "kind": "arxiv",
    "version": 3
  }
}