Pith Number

pith:PKW3DWK3

pith:2017:PKW3DWK33TRFXCLLDMSCF5AGAT

not attested not anchored not stored refs pending

Sharp $L^p$-$L^q$ estimates for the spherical harmonic projection

Sanghyuk Lee, Yehyun Kwon

arxiv:1709.09795 v2 · 2017-09-28 · 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{PKW3DWK33TRFXCLLDMSCF5AGAT}

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	2026-05-18T00:24:59.591812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7aadb1d95bdce25b896b1b2422f40604f142179374bfe92518448969b5870aef

Aliases

arxiv: 1709.09795 · arxiv_version: 1709.09795v2 · doi: 10.48550/arxiv.1709.09795 · pith_short_12: PKW3DWK33TRF · pith_short_16: PKW3DWK33TRFXCLL · pith_short_8: PKW3DWK3

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/PKW3DWK33TRFXCLLDMSCF5AGAT \
  | 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: 7aadb1d95bdce25b896b1b2422f40604f142179374bfe92518448969b5870aef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2959afbfaa36bd0b5a0b9cf7a1fe75a845f1ff0c4102447675038c5287ecb76f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-09-28T03:45:23Z",
    "title_canon_sha256": "2639b0db52d5195f424c9116392d830d963dfc49b9db53ad4e222d51222afe58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09795",
    "kind": "arxiv",
    "version": 2
  }
}