Pith Number

pith:7GCHC5MT

pith:2016:7GCHC5MTRGE2FIRQVHGKTUENIS

not attested not anchored not stored refs pending

A Two-weight inequality between $L^p(\ell^2)$ and $L^p$

Emil Vuorinen, Tuomas Hyt\"onen

arxiv:1608.07199 v2 · 2016-08-25 · 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{7GCHC5MTRGE2FIRQVHGKTUENIS}

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	2026-05-18T00:01:49.242447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9847175938989a2a230a9cca9d08d448fb139c0704b220ff7336bd2ca05deb0

Aliases

arxiv: 1608.07199 · arxiv_version: 1608.07199v2 · doi: 10.48550/arxiv.1608.07199 · pith_short_12: 7GCHC5MTRGE2 · pith_short_16: 7GCHC5MTRGE2FIRQ · pith_short_8: 7GCHC5MT

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/7GCHC5MTRGE2FIRQVHGKTUENIS \
  | 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: f9847175938989a2a230a9cca9d08d448fb139c0704b220ff7336bd2ca05deb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a8e88af7d92b7795b698bbd128b7174c7e9bbb2ed96e731b672df7c5053b630",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-08-25T15:35:57Z",
    "title_canon_sha256": "482049327bb1d1831f2cddca1ed62c3de8fa63d8918e1f741b440b9c4b46d8e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07199",
    "kind": "arxiv",
    "version": 2
  }
}