Pith Number

pith:OY73DYXC

pith:2012:OY73DYXCI6U5AB76UQDSBMB63Y

not attested not anchored not stored refs pending

Weighted norm inequalities for k-plane transforms

Boris Rubin

arxiv:1207.5180 v1 · 2012-07-21 · 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{OY73DYXCI6U5AB76UQDSBMB63Y}

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	2026-05-18T03:50:24.244913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

763fb1e2e247a9d007fea40720b03ede3036c529ee806260b8f77fa590b79dc3

Aliases

arxiv: 1207.5180 · arxiv_version: 1207.5180v1 · doi: 10.48550/arxiv.1207.5180 · pith_short_12: OY73DYXCI6U5 · pith_short_16: OY73DYXCI6U5AB76 · pith_short_8: OY73DYXC

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/OY73DYXCI6U5AB76UQDSBMB63Y \
  | 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: 763fb1e2e247a9d007fea40720b03ede3036c529ee806260b8f77fa590b79dc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2493825a5dd5acf815157043a8988b676a4ac272551248d9ad365faae0c4dacc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-07-21T21:19:53Z",
    "title_canon_sha256": "e03aa543e72223fe258df8ec3359175bdad0a274f9a0527bad96ced3734d2a7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5180",
    "kind": "arxiv",
    "version": 1
  }
}