Pith Number

pith:N56U6N23

pith:2014:N56U6N23BGQSQS2TKUSMG6UHNL

not attested not anchored not stored refs pending

The number of maximal sum-free subsets of integers

Andrew Treglown, Hong Liu, J\'ozsef Balogh, Maryam Sharifzadeh

arxiv:1409.5661 v1 · 2014-09-19 · 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{N56U6N23BGQSQS2TKUSMG6UHNL}

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	2026-05-18T02:42:26.640160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f7d4f375b09a1284b535524c37a876aded6cc96bdfd10a116411834def03d80

Aliases

arxiv: 1409.5661 · arxiv_version: 1409.5661v1 · doi: 10.48550/arxiv.1409.5661 · pith_short_12: N56U6N23BGQS · pith_short_16: N56U6N23BGQSQS2T · pith_short_8: N56U6N23

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/N56U6N23BGQSQS2TKUSMG6UHNL \
  | 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: 6f7d4f375b09a1284b535524c37a876aded6cc96bdfd10a116411834def03d80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "500fdac55a11b0467dcf139dbf79a83d7c369d1589b272c10f82f479ff0206c9",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-19T13:54:05Z",
    "title_canon_sha256": "e072266a6d095c10206e05e175124f8f7bff19f15eb3647690a643ac0254f912"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5661",
    "kind": "arxiv",
    "version": 1
  }
}