Pith Number

pith:DS7V2GEJ

pith:2026:DS7V2GEJSWNS5DBZTCJRMCKI4Y

not attested not anchored not stored refs pending

Inequalities among higher-order difference sets, or, remarks on a construction of Ruzsa

Noah Kravitz

arxiv:2606.27087 v1 · 2026-06-25 · 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{DS7V2GEJSWNS5DBZTCJRMCKI4Y}

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	2026-06-26T01:16:09.062275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cbf5d1889959b2e8c399893160948e6380509f47d0d84d21a91456219a3a30a

Aliases

arxiv: 2606.27087 · arxiv_version: 2606.27087v1 · doi: 10.48550/arxiv.2606.27087 · pith_short_12: DS7V2GEJSWNS · pith_short_16: DS7V2GEJSWNS5DBZ · pith_short_8: DS7V2GEJ

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/DS7V2GEJSWNS5DBZTCJRMCKI4Y \
  | 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: 1cbf5d1889959b2e8c399893160948e6380509f47d0d84d21a91456219a3a30a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d533cc2568b84bc79ad0749b7364106c8e98641784c5f0681cd21a4aecfbcb4f",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-25T14:23:41Z",
    "title_canon_sha256": "5ff5d02edb4fcb387b46e814343e9eef302129586e24852a12c7b4aae5359bab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27087",
    "kind": "arxiv",
    "version": 1
  }
}