Pith Number

pith:4JJPCANW

pith:2015:4JJPCANW722ZYSI7QTTNYOC3B7

not attested not anchored not stored refs pending

A Remark on reverse Littlewood-Paley, restriction and Kakeya

Anthony Carbery

arxiv:1507.02515 v1 · 2015-07-09 · 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{4JJPCANW722ZYSI7QTTNYOC3B7}

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	2026-05-18T01:37:06.493100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e252f101b6feb59c491f84e6dc385b0fd587478d8cc5ce17e087c465cc729128

Aliases

arxiv: 1507.02515 · arxiv_version: 1507.02515v1 · doi: 10.48550/arxiv.1507.02515 · pith_short_12: 4JJPCANW722Z · pith_short_16: 4JJPCANW722ZYSI7 · pith_short_8: 4JJPCANW

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/4JJPCANW722ZYSI7QTTNYOC3B7 \
  | 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: e252f101b6feb59c491f84e6dc385b0fd587478d8cc5ce17e087c465cc729128

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbcfe1a6aa29e9edb25863189b72d8557ffd7f6e5e8a7dd8e866bbc44a0558a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-07-09T14:11:11Z",
    "title_canon_sha256": "09d7ae052a471c22f420df486d5b885ad9486b8f67b418ca30e6e1320fe314d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02515",
    "kind": "arxiv",
    "version": 1
  }
}