Pith Number

pith:NNKO2Z37

pith:2026:NNKO2Z37ZGMGXSO5XQHAWSQKWX

not attested not anchored not stored refs pending

The Thickness of Infinite Sidon Sets

Kevin O'Bryant

arxiv:2606.28651 v1 · 2026-06-26 · 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{NNKO2Z37ZGMGXSO5XQHAWSQKWX}

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	2026-06-30T01:16:45.921513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b54ed677fc9986bc9ddbc0e0b4a0ab5d7e5b3e91aee34e2cb48dacae29e9b84

Aliases

arxiv: 2606.28651 · arxiv_version: 2606.28651v1 · doi: 10.48550/arxiv.2606.28651 · pith_short_12: NNKO2Z37ZGMG · pith_short_16: NNKO2Z37ZGMGXSO5 · pith_short_8: NNKO2Z37

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/NNKO2Z37ZGMGXSO5XQHAWSQKWX \
  | 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: 6b54ed677fc9986bc9ddbc0e0b4a0ab5d7e5b3e91aee34e2cb48dacae29e9b84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed54fc637be2ea876c426e6dc3d927fe919881be92eff4ef4def4fb44066c9ba",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-26T23:34:53Z",
    "title_canon_sha256": "8b7772d2977dfb7e885028c0c7ef1c8a4b64540c3fa59917af2fc37cbc20b96e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28651",
    "kind": "arxiv",
    "version": 1
  }
}