Pith Number

pith:U6OMLMXY

pith:2017:U6OMLMXY4HNC6MSZRDVSPWC7LO

not attested not anchored not stored refs pending

On the complexity of finding and counting solution-free sets of integers

Andrew Treglown, Kitty Meeks

arxiv:1704.03758 v1 · 2017-04-12 · math.CO · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U6OMLMXY4HNC6MSZRDVSPWC7LO}

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	2026-05-18T00:46:26.938466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a79cc5b2f8e1da2f325988eb27d85f5bb811179de8f69a31bf405eb441500ba7

Aliases

arxiv: 1704.03758 · arxiv_version: 1704.03758v1 · doi: 10.48550/arxiv.1704.03758 · pith_short_12: U6OMLMXY4HNC · pith_short_16: U6OMLMXY4HNC6MSZ · pith_short_8: U6OMLMXY

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/U6OMLMXY4HNC6MSZRDVSPWC7LO \
  | 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: a79cc5b2f8e1da2f325988eb27d85f5bb811179de8f69a31bf405eb441500ba7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaf58b43e67090aa1c1fc08af91c2a91a57b6c440c5233105face52205adbb12",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-12T13:56:19Z",
    "title_canon_sha256": "ee7f832d377abeec6e7d7f253208fe8351f044d915822cf9e2d5f4e91822378c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.03758",
    "kind": "arxiv",
    "version": 1
  }
}