Pith Number

pith:DM2SZAM3

pith:2012:DM2SZAM3SKFMNBA3NMIQGPNBFH

not attested not anchored not stored refs pending

Weighted norm estimates for the Semyanistyi fractional integrals and Radon transforms

Boris Rubin

arxiv:1210.5414 v1 · 2012-10-19 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DM2SZAM3SKFMNBA3NMIQGPNBFH}

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	2026-05-18T03:42:45.329143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b352c819b928ac6841b6b11033da129f6ee26b5330b52f0cc4dab2b8dbf7c64

Aliases

arxiv: 1210.5414 · arxiv_version: 1210.5414v1 · doi: 10.48550/arxiv.1210.5414 · pith_short_12: DM2SZAM3SKFM · pith_short_16: DM2SZAM3SKFMNBA3 · pith_short_8: DM2SZAM3

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/DM2SZAM3SKFMNBA3NMIQGPNBFH \
  | 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: 1b352c819b928ac6841b6b11033da129f6ee26b5330b52f0cc4dab2b8dbf7c64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f42e164f28dc9279f27148d5f368cc187d8c6b6b15b7bbf583278e3b8dd4f18b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-10-19T13:25:05Z",
    "title_canon_sha256": "12d1c61d4e994288799faa17acfb407c285da4b49add25021fccc160aa7ff29b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5414",
    "kind": "arxiv",
    "version": 1
  }
}