Pith Number

pith:OGX3PJ25

pith:2025:OGX3PJ25W3HYXP3DMN2SH22AZH

not attested not anchored not stored refs pending

On the Sumset of Sets of Size $k$

Vincent Schinina

arxiv:2505.07679 v2 · 2025-05-12 · 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{OGX3PJ25W3HYXP3DMN2SH22AZH}

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.

Cited by

2 papers in Pith

Explicit sumset sizes in additive number theory

Intersections of sumsets in additive number theory

Receipt and verification

First computed	2026-07-05T11:29:59.986236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71afb7a75db6cf8bbf63637523eb40c9eabab0419a06fb12dad93cf1a11eb4ca

Aliases

arxiv: 2505.07679 · arxiv_version: 2505.07679v2 · doi: 10.48550/arxiv.2505.07679 · pith_short_12: OGX3PJ25W3HY · pith_short_16: OGX3PJ25W3HYXP3D · pith_short_8: OGX3PJ25

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/OGX3PJ25W3HYXP3DMN2SH22AZH \
  | 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: 71afb7a75db6cf8bbf63637523eb40c9eabab0419a06fb12dad93cf1a11eb4ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2243e20fba264a8e70f95934151a988ac07487907137be5b0d6022e9a83f8b24",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-12T15:45:09Z",
    "title_canon_sha256": "68795c17e182c0d95238c22fcbfc7189ddd5f2d93d1014678c09dfce0e2e8778"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.07679",
    "kind": "arxiv",
    "version": 2
  }
}