Pith Number

pith:XOWGGJUM

pith:2012:XOWGGJUMRBWWJBABFDUFVVKCEW

not attested not anchored not stored refs pending

Restriction estimates, sharp spectral multipliers and endpoint estimates for Bochner-Riesz means

Adam Sikora, El Maati Ouhabaz, Lixin Yan, Peng Chen

arxiv:1202.4052 v1 · 2012-02-18 · math.AP · 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{XOWGGJUMRBWWJBABFDUFVVKCEW}

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	2026-05-18T04:02:01.478637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbac63268c886d64840128e85ad54225b78f9ed08cc962621de9e82736094683

Aliases

arxiv: 1202.4052 · arxiv_version: 1202.4052v1 · doi: 10.48550/arxiv.1202.4052 · pith_short_12: XOWGGJUMRBWW · pith_short_16: XOWGGJUMRBWWJBAB · pith_short_8: XOWGGJUM

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/XOWGGJUMRBWWJBABFDUFVVKCEW \
  | 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: bbac63268c886d64840128e85ad54225b78f9ed08cc962621de9e82736094683

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a92a0b2af02f29969799de4decd68b6a82154b72f79a39c46eabdc13c5124613",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-18T02:39:01Z",
    "title_canon_sha256": "a26b11e0a915543d3f397f7950f30dc5d2048718d353d6d29f58f15ab853f2f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4052",
    "kind": "arxiv",
    "version": 1
  }
}