Pith Number

pith:UK5Y63CF

pith:2026:UK5Y63CFNJXVX4KCFN3Q7K2HAY

not attested not anchored not stored refs pending

On growth rates of infinite and finite sumsets

Felipe Hern\'andez, Luke Hetzel

arxiv:2606.07310 v1 · 2026-06-05 · 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{UK5Y63CFNJXVX4KCFN3Q7K2HAY}

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	2026-06-08T01:05:18.975674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2bb8f6c456a6f5bf1422b770fab4706174a87e756dc945807ece486d153ded7

Aliases

arxiv: 2606.07310 · arxiv_version: 2606.07310v1 · doi: 10.48550/arxiv.2606.07310 · pith_short_12: UK5Y63CFNJXV · pith_short_16: UK5Y63CFNJXVX4KC · pith_short_8: UK5Y63CF

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/UK5Y63CFNJXVX4KCFN3Q7K2HAY \
  | 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: a2bb8f6c456a6f5bf1422b770fab4706174a87e756dc945807ece486d153ded7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7b0edb48fb04992d0bb603c6ac36b97948e0df5354cd625f964bff36fe523d0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-05T14:27:25Z",
    "title_canon_sha256": "a29c147e64b7c07dfa30bfd17b9be766731c327d995c8260de43c8439c5a24c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07310",
    "kind": "arxiv",
    "version": 1
  }
}