Pith Number

pith:L5YGYFYL

pith:2023:L5YGYFYLL34MXTMN5ZLDWQWLWU

not attested not anchored not stored refs pending

The Kelley--Meka bounds for sets free of three-term arithmetic progressions

Olof Sisask, Thomas F. Bloom

arxiv:2302.07211 v3 · 2023-02-14 · 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{L5YGYFYLL34MXTMN5ZLDWQWLWU}

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 Fourier coefficients of sets with small doubling

Receipt and verification

First computed	2026-07-05T11:02:08.487813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f706c170b5ef8cbcd8dee563b42cbb50cf06e3262b0f3a6ed46d70887eb2d58

Aliases

arxiv: 2302.07211 · arxiv_version: 2302.07211v3 · doi: 10.48550/arxiv.2302.07211 · pith_short_12: L5YGYFYLL34M · pith_short_16: L5YGYFYLL34MXTMN · pith_short_8: L5YGYFYL

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/L5YGYFYLL34MXTMN5ZLDWQWLWU \
  | 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: 5f706c170b5ef8cbcd8dee563b42cbb50cf06e3262b0f3a6ed46d70887eb2d58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10c8767a770d99436bb3f9f82ec2a38164ed61bc4c963ede7981f013ecab0fbf",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-02-14T17:32:38Z",
    "title_canon_sha256": "ff5c9694b466458daefaaefbc8b68d87b20f95570a1648692ef4cb819f2d0acf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.07211",
    "kind": "arxiv",
    "version": 3
  }
}