Pith Number

pith:CC7QUHJM

pith:2016:CC7QUHJMNMMDRJVPIH44FIJJZI

not attested not anchored not stored refs pending

On solution-free sets of integers

Andrew Treglown, Robert Hancock

arxiv:1607.08399 v2 · 2016-07-28 · 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{CC7QUHJMNMMDRJVPIH44FIJJZI}

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	2026-05-18T01:01:51.578573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10bf0a1d2c6b1838a6af41f9c2a129ca37c67dafdcfa76ad8b2d9dafec5598d1

Aliases

arxiv: 1607.08399 · arxiv_version: 1607.08399v2 · doi: 10.48550/arxiv.1607.08399 · pith_short_12: CC7QUHJMNMMD · pith_short_16: CC7QUHJMNMMDRJVP · pith_short_8: CC7QUHJM

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/CC7QUHJMNMMDRJVPIH44FIJJZI \
  | 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: 10bf0a1d2c6b1838a6af41f9c2a129ca37c67dafdcfa76ad8b2d9dafec5598d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c798efd581278037c8d08ce6f7cda3e1481ba950fd9cd3c4a5cce205e2e09b5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-28T11:07:18Z",
    "title_canon_sha256": "b6d5397e138912ce951fdb74e938397c959bc93fea0fc46dcf0453d9d4497dd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08399",
    "kind": "arxiv",
    "version": 2
  }
}