Pith Number

pith:C7WSY4NH

pith:2017:C7WSY4NHGJBUES4PUR4I32KH32

not attested not anchored not stored refs pending

New bounds for Szemer\'edi's theorem, III: A polylogarithmic bound for $r_4(N)$

Ben Green, Terence Tao

arxiv:1705.01703 v3 · 2017-05-04 · 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{C7WSY4NHGJBUES4PUR4I32KH32}

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	2026-05-18T00:38:18.057245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17ed2c71a73243424b8fa4788de947deb2b2b6e74a331e86109a627fc5c3f9be

Aliases

arxiv: 1705.01703 · arxiv_version: 1705.01703v3 · doi: 10.48550/arxiv.1705.01703 · pith_short_12: C7WSY4NHGJBU · pith_short_16: C7WSY4NHGJBUES4P · pith_short_8: C7WSY4NH

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/C7WSY4NHGJBUES4PUR4I32KH32 \
  | 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: 17ed2c71a73243424b8fa4788de947deb2b2b6e74a331e86109a627fc5c3f9be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c688c42b4908ee9b7e7caff3a25697daafa50548f6ec41eea9bb958ee62a1a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-04T04:40:39Z",
    "title_canon_sha256": "962a29f207663e628ff6ba82b5c0ff91360c68ded0a4496bb4c213bb9e9c4c71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.01703",
    "kind": "arxiv",
    "version": 3
  }
}