Pith Number

pith:T2JOFORP

pith:2004:T2JOFORPW7PNAAZ27PRTSPMW2E

not attested not anchored not stored refs pending

A proof of the Bochner-Riesz conjecture

Yong-Cheol Kim

arxiv:math/0407013 v4 · 2004-07-01 · math.CA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T2JOFORPW7PNAAZ27PRTSPMW2E}

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	2026-05-18T03:37:53.892166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e92e2ba2fb7ded0033afbe3393d96d10963c62f39caee641edb578f0f38ce16

Aliases

arxiv: math/0407013 · arxiv_version: math/0407013v4 · doi: 10.48550/arxiv.math/0407013 · pith_short_12: T2JOFORPW7PN · pith_short_16: T2JOFORPW7PNAAZ2 · pith_short_8: T2JOFORP

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/T2JOFORPW7PNAAZ27PRTSPMW2E \
  | 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: 9e92e2ba2fb7ded0033afbe3393d96d10963c62f39caee641edb578f0f38ce16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c87602a77601c6e70f206d43c29545838133a667be85a0e8ca5a09f38b00db7",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2004-07-01T07:11:08Z",
    "title_canon_sha256": "cbd05387f43c79673881cf36bc33fb6d288df26249bf8bb81659a0031c2b3ea0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0407013",
    "kind": "arxiv",
    "version": 4
  }
}