Pith Number

pith:H4GBAE4Q

pith:2013:H4GBAE4QWCRU5NOHDWAX65GP56

not attested not anchored not stored refs pending

New bounds for the discrete Fourier restriction to the sphere in four and five dimensions

Ciprian Demeter, Jean Bourgain

arxiv:1310.5244 v1 · 2013-10-19 · math.CA · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H4GBAE4QWCRU5NOHDWAX65GP56}

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	2026-05-18T03:09:46.428539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f0c101390b0a34eb5c71d817f74cfefa2fc4830105095c5436122cf6d4459fb

Aliases

arxiv: 1310.5244 · arxiv_version: 1310.5244v1 · doi: 10.48550/arxiv.1310.5244 · pith_short_12: H4GBAE4QWCRU · pith_short_16: H4GBAE4QWCRU5NOH · pith_short_8: H4GBAE4Q

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/H4GBAE4QWCRU5NOHDWAX65GP56 \
  | 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: 3f0c101390b0a34eb5c71d817f74cfefa2fc4830105095c5436122cf6d4459fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e8e8fd83140b692386f07a75f83fa9bc7a381c8d2257f0922d6ad1615afc0b2",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-10-19T16:35:20Z",
    "title_canon_sha256": "13543acbf24cde4ccdfb97fd3afe7cd21e6294690755067e3889697f72efb86b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5244",
    "kind": "arxiv",
    "version": 1
  }
}