Pith Number

pith:KG7TXMZ6

pith:2026:KG7TXMZ6QN5OAAKQBYKPWDTP5C

not attested not anchored not stored refs pending

A combinatorial large sieve for Sidon sets, distances, and norm forms

Adam Sheffer, Chi Hoi Yip, Cosmin Pohoata, Ernie Croot, Junzhe Mao

arxiv:2606.17487 v1 · 2026-06-16 · math.NT · 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{KG7TXMZ6QN5OAAKQBYKPWDTP5C}

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	2026-06-19T16:10:14.282253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51bf3bb33e837ae001500e14fb0e6fe88454caebe461504902941300417f4dfa

Aliases

arxiv: 2606.17487 · arxiv_version: 2606.17487v1 · doi: 10.48550/arxiv.2606.17487 · pith_short_12: KG7TXMZ6QN5O · pith_short_16: KG7TXMZ6QN5OAAKQ · pith_short_8: KG7TXMZ6

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/KG7TXMZ6QN5OAAKQBYKPWDTP5C \
  | 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: 51bf3bb33e837ae001500e14fb0e6fe88454caebe461504902941300417f4dfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "688f97cc8899e23a997cb8e4336202e6cbe2b7f886875503215bf0922a4c7eca",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-16T03:57:20Z",
    "title_canon_sha256": "e6dc6dfba2e1109fb085017f613997a29e9656d761d268255e9d9df4b24d2ce0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17487",
    "kind": "arxiv",
    "version": 1
  }
}