Pith Number

pith:WSFYAQ2B

pith:2020:WSFYAQ2BWILK3JPMYWY26FN3KK

not attested not anchored not stored refs pending

Breaking the logarithmic barrier in Roth's theorem on arithmetic progressions

Olof Sisask, Thomas F. Bloom

arxiv:2007.03528 v2 · 2020-07-07 · 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{WSFYAQ2BWILK3JPMYWY26FN3KK}

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

5 papers in Pith

Large Sets of Integers with No Harmonic Triples

Beating Product Constructions for Linear Equations Over Finite Fields

Witness-split + window-cardinality refinement for $r_3(N)$: Architecture, empirical results, and a structural hard pocket

A strengthening of Chang's lemma

On the Furstenberg-Katznelson constant for the IP Szemeredi theorem over finite fields

Receipt and verification

First computed	2026-07-05T03:10:37.031339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b48b804341b216ada5ecc5b1af15bb52871edcc9c2af736e21437cbfdcc50a14

Aliases

arxiv: 2007.03528 · arxiv_version: 2007.03528v2 · doi: 10.48550/arxiv.2007.03528 · pith_short_12: WSFYAQ2BWILK · pith_short_16: WSFYAQ2BWILK3JPM · pith_short_8: WSFYAQ2B

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/WSFYAQ2BWILK3JPMYWY26FN3KK \
  | 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: b48b804341b216ada5ecc5b1af15bb52871edcc9c2af736e21437cbfdcc50a14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1096ce0017d4bd8bd57044193a2dd17efca536baeba6922e4299456dca88a0b5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-07-07T14:58:06Z",
    "title_canon_sha256": "c39f0d40d8d8e031c1da413d219a58e0a2c8b769b8d68fd938a915cdfb1c63bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.03528",
    "kind": "arxiv",
    "version": 2
  }
}