Pith Number

pith:RB42KGTW

pith:2023:RB42KGTWU6QKEZNM4LSIFLY4D6

not attested not anchored not stored refs pending

Effective bounds for Roth's theorem with shifted square common difference

Ashwin Sah, Mehtaab Sawhney, Sarah Peluse

arxiv:2309.08359 v1 · 2023-09-15 · math.NT · 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{RB42KGTWU6QKEZNM4LSIFLY4D6}

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

On polynomial progressions via transference

Receipt and verification

First computed	2026-07-05T06:51:05.652201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8879a51a76a7a0a265ace2e482af1c1f9d7ac1e35408a3180ac1c6f99f010244

Aliases

arxiv: 2309.08359 · arxiv_version: 2309.08359v1 · doi: 10.48550/arxiv.2309.08359 · pith_short_12: RB42KGTWU6QK · pith_short_16: RB42KGTWU6QKEZNM · pith_short_8: RB42KGTW

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/RB42KGTWU6QKEZNM4LSIFLY4D6 \
  | 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: 8879a51a76a7a0a265ace2e482af1c1f9d7ac1e35408a3180ac1c6f99f010244

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9104660fae6cd8dcd187a7f673e4ec66301e9b995f7b2b6077d25f31e2e91d85",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-09-15T12:34:47Z",
    "title_canon_sha256": "3db8b7aedafd5cd518ffb4e63eb436d6b22d80598e0403c7f5fab0512ad85e5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.08359",
    "kind": "arxiv",
    "version": 1
  }
}