Pith Number

pith:XKOGU3NY

pith:2023:XKOGU3NYBQSGO6ERTK3ERVRT7Q

not attested not anchored not stored refs pending

Strong Bounds for 3-Progressions

Raghu Meka, Zander Kelley

arxiv:2302.05537 v6 · 2023-02-10 · 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{XKOGU3NYBQSGO6ERTK3ERVRT7Q}

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

2 papers in Pith

Hitting Arithmetic Progressions at the Square-Root Scale

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

Receipt and verification

First computed	2026-07-05T09:27:18.615814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba9c6a6db80c246778919ab648d633fc05ab8f34e9a8f6b091a446ce06776beb

Aliases

arxiv: 2302.05537 · arxiv_version: 2302.05537v6 · doi: 10.48550/arxiv.2302.05537 · pith_short_12: XKOGU3NYBQSG · pith_short_16: XKOGU3NYBQSGO6ER · pith_short_8: XKOGU3NY

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/XKOGU3NYBQSGO6ERTK3ERVRT7Q \
  | 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: ba9c6a6db80c246778919ab648d633fc05ab8f34e9a8f6b091a446ce06776beb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43eb3a98294f4907db2821fd8299cd3a9cdc931158cd930caef9f969598ab07b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-02-10T22:40:05Z",
    "title_canon_sha256": "63dc16f3680302687053576d7576eee2bd9a71653dcf76b8493432c8569eafd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.05537",
    "kind": "arxiv",
    "version": 6
  }
}