Pith Number

pith:WGNG5NFZ

pith:2026:WGNG5NFZ5XL5Z3GOJKFE7YBT6Q

not attested not anchored not stored refs pending

On the prime field spherical restriction conjecture in four dimensions: breaking the Stein-Tomas exponent and applications

Boqing Xue, Thang Pham

arxiv:2606.03627 v1 · 2026-06-02 · math.CA · math.CO · 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{WGNG5NFZ5XL5Z3GOJKFE7YBT6Q}

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.

Cited by

1 paper in Pith

A Delsarte Linear Programming Approach to the Erd\H{o}s--Falconer Distance Problem over Finite Fields

Receipt and verification

First computed	2026-06-03T01:06:02.722184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b19a6eb4b9edd7dcecce4a8a4fe033f421d8eafd0ed6268646b7b1e8586e6972

Aliases

arxiv: 2606.03627 · arxiv_version: 2606.03627v1 · doi: 10.48550/arxiv.2606.03627 · pith_short_12: WGNG5NFZ5XL5 · pith_short_16: WGNG5NFZ5XL5Z3GO · pith_short_8: WGNG5NFZ

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/WGNG5NFZ5XL5Z3GOJKFE7YBT6Q \
  | 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: b19a6eb4b9edd7dcecce4a8a4fe033f421d8eafd0ed6268646b7b1e8586e6972

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d5687b2dba98734527a8f8686008c1913e35fb582fdb045310a8d868c71c89f",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-06-02T13:25:34Z",
    "title_canon_sha256": "1d9e1a0f06706d03098324abb0c560676bb7f9c4b3beddd4b5f4beb5c867d52f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03627",
    "kind": "arxiv",
    "version": 1
  }
}