Pith Number

pith:6O42BJ5B

pith:2026:6O42BJ5BGXWARL3ZAF6WXIBCC5

not attested not anchored not stored refs pending

Arithmetic Progression-Free Subset-Sum Sets

Samuel Korsky

arxiv:2606.24139 v1 · 2026-06-23 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6O42BJ5BGXWARL3ZAF6WXIBCC5}

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	2026-06-24T01:14:42.065512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3b9a0a7a135ec08af79017d6ba022176f711200bbc25af18300a4547dcf9f4f

Aliases

arxiv: 2606.24139 · arxiv_version: 2606.24139v1 · doi: 10.48550/arxiv.2606.24139 · pith_short_12: 6O42BJ5BGXWA · pith_short_16: 6O42BJ5BGXWARL3Z · pith_short_8: 6O42BJ5B

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/6O42BJ5BGXWARL3ZAF6WXIBCC5 \
  | 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: f3b9a0a7a135ec08af79017d6ba022176f711200bbc25af18300a4547dcf9f4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6542a2aed6fc2f21b832c275e27d7466cb460dc1936d18e8cf4e2865bfc3004",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-23T04:46:44Z",
    "title_canon_sha256": "18825b37df3143c5db37976d3c1e21adc66886c507b43dda7872708fabb388e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24139",
    "kind": "arxiv",
    "version": 1
  }
}