Pith Number

pith:KGCD4Q3X

pith:2008:KGCD4Q3XCN53LY5O5HUNCHK4JD

not attested not anchored not stored refs pending

Square-Difference-Free Sets of Size Omega(n^{0.7334...})

Richard Beigel, William Gasarch

arxiv:0804.4892 v3 · 2008-04-30 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KGCD4Q3XCN53LY5O5HUNCHK4JD}

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

Lower bounds in the polynomial Szemer\'edi theorem

Receipt and verification

First computed	2026-07-04T15:11:24.831295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51843e4377137bb5e3aee9e8d11d5c48c0f7e633ae956fc67d869bd599c1fa14

Aliases

arxiv: 0804.4892 · arxiv_version: 0804.4892v3 · doi: 10.48550/arxiv.0804.4892 · pith_short_12: KGCD4Q3XCN53 · pith_short_16: KGCD4Q3XCN53LY5O · pith_short_8: KGCD4Q3X

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/KGCD4Q3XCN53LY5O5HUNCHK4JD \
  | 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: 51843e4377137bb5e3aee9e8d11d5c48c0f7e633ae956fc67d869bd599c1fa14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a71cd73d44b755b2d5ae312e40af3de508eb7f209c9c729b7c300d219ba8dd00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-04-30T19:27:30Z",
    "title_canon_sha256": "209874232b7e7b731ee9f2e62db2cad9fa4b803ce3964f7e4e1d5f6f943e326a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.4892",
    "kind": "arxiv",
    "version": 3
  }
}