Pith Number

pith:OYNPCTVV

pith:2007:OYNPCTVVTEZQAG4UKBOFLS6MU2

not attested not anchored not stored refs pending

Linear bound for the dyadic paraproduct on weighted Lebesgue space $L_2(w)$

Oleksandra V. Beznosova

arxiv:0711.3451 v1 · 2007-11-21 · 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{OYNPCTVVTEZQAG4UKBOFLS6MU2}

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	2026-05-18T03:38:14.648109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

761af14eb59933001b94505c55cbcca68ed847c3d9b97dee533c13a9a222c13d

Aliases

arxiv: 0711.3451 · arxiv_version: 0711.3451v1 · doi: 10.48550/arxiv.0711.3451 · pith_short_12: OYNPCTVVTEZQ · pith_short_16: OYNPCTVVTEZQAG4U · pith_short_8: OYNPCTVV

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/OYNPCTVVTEZQAG4UKBOFLS6MU2 \
  | 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: 761af14eb59933001b94505c55cbcca68ed847c3d9b97dee533c13a9a222c13d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ebb21fcba267723052fb1d4b56c85c5ca1cfc8c3596b0863e3d4ba76ae325a5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2007-11-21T20:37:32Z",
    "title_canon_sha256": "bafcd8cec7a75d2a5bd6854f2ae76b8df00270a7ac4448e1df7bc934b2b05d75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.3451",
    "kind": "arxiv",
    "version": 1
  }
}