Pith Number

pith:GBGIWFFO

pith:2025:GBGIWFFODD42A3CTHEA2XMH6ZF

not attested not anchored not stored refs pending

Possible Sizes of Sumsets

Isaac Rajagopal

arxiv:2510.23022 v3 · 2025-10-27 · 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{GBGIWFFODD42A3CTHEA2XMH6ZF}

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

1 paper in Pith

Intersections of sumsets in additive number theory

Receipt and verification

First computed	2026-07-17T00:20:41.437464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

304c8b14ae18f9a06c533901abb0fec9578d73124e346a151f5521c4a95f75be

Aliases

arxiv: 2510.23022 · arxiv_version: 2510.23022v3 · doi: 10.48550/arxiv.2510.23022 · pith_short_12: GBGIWFFODD42 · pith_short_16: GBGIWFFODD42A3CT · pith_short_8: GBGIWFFO

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/GBGIWFFODD42A3CTHEA2XMH6ZF \
  | 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: 304c8b14ae18f9a06c533901abb0fec9578d73124e346a151f5521c4a95f75be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c01be73a4595f2865b84ddf28157376a30bd0e1bd00dcb2ec00c7bec4331f83",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-10-27T05:34:04Z",
    "title_canon_sha256": "3c75d293d2edebd0d16d80c45f9feb8c8f4f657c584ef43cbd2bbd05188aabf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.23022",
    "kind": "arxiv",
    "version": 3
  }
}