Pith Number

pith:QE7FL6C7

pith:2023:QE7FL6C7OOLVDTYVJK4UKBA5SF

not attested not anchored not stored refs pending

Partition regularity of Pythagorean pairs

Joel Moreira, Nikos Frantzikinakis, Oleksiy Klurman

arxiv:2309.10636 v4 · 2023-09-19 · math.CO · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QE7FL6C7OOLVDTYVJK4UKBA5SF}

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

Additive Ramsey theory over Piatetski-Shapiro numbers

Receipt and verification

First computed	2026-07-05T10:16:06.396014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

813e55f85f739751cf154ab945041d917b43c032714bca64df771aed693df948

Aliases

arxiv: 2309.10636 · arxiv_version: 2309.10636v4 · doi: 10.48550/arxiv.2309.10636 · pith_short_12: QE7FL6C7OOLV · pith_short_16: QE7FL6C7OOLVDTYV · pith_short_8: QE7FL6C7

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/QE7FL6C7OOLVDTYVJK4UKBA5SF \
  | 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: 813e55f85f739751cf154ab945041d917b43c032714bca64df771aed693df948

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1d9c2d05775be32d82273b1936832cb8196befdcbfacfba65843760b9d00768",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-09-19T14:19:48Z",
    "title_canon_sha256": "3543b714f513f87f49d52732f513e4e455f0a9ea09d6bcf8e76bd150bf0ed522"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.10636",
    "kind": "arxiv",
    "version": 4
  }
}