Pith Number

pith:WAF7OMYN

pith:2018:WAF7OMYNZZ6KAMTLPJX4XII63A

not attested not anchored not stored refs pending

The Maximum Size of $(k,l)$-Sum-Free Sets in Cyclic Groups

B\'ela Bajnok, Ryan Matzke

arxiv:1809.01767 v1 · 2018-09-05 · 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{WAF7OMYNZZ6KAMTLPJX4XII63A}

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	2026-05-18T00:06:21.966767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b00bf7330dce7ca0326b7a6fcba11ed82a18b9947d21cd222b57b7796471c937

Aliases

arxiv: 1809.01767 · arxiv_version: 1809.01767v1 · doi: 10.48550/arxiv.1809.01767 · pith_short_12: WAF7OMYNZZ6K · pith_short_16: WAF7OMYNZZ6KAMTL · pith_short_8: WAF7OMYN

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/WAF7OMYNZZ6KAMTLPJX4XII63A \
  | 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: b00bf7330dce7ca0326b7a6fcba11ed82a18b9947d21cd222b57b7796471c937

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f039b926bf1d2e7984c14eb88d65f93b2018313857fbe35d0d0da14fb024fdf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-05T23:59:09Z",
    "title_canon_sha256": "0104398841598d5a15ccd547cd61c101d616f0ca38f761d5c6e8d59e943247f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01767",
    "kind": "arxiv",
    "version": 1
  }
}