Pith Number

pith:ISSPL2GG

pith:2025:ISSPL2GGU6OM4A7OGXUCQCAX2L

not attested not anchored not stored refs pending

Finer control on relative sizes of iterated sumsets

Jacob Fox, Noah Kravitz, Shengtong Zhang

arxiv:2506.05691 v1 · 2025-06-06 · 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{ISSPL2GGU6OM4A7OGXUCQCAX2L}

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

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

Intersections of sumsets in additive number theory

Receipt and verification

First computed	2026-07-05T11:17:08.132254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44a4f5e8c6a79cce03ee35e8280817d2c4d47365548cedafc15f7eb3b3f8d046

Aliases

arxiv: 2506.05691 · arxiv_version: 2506.05691v1 · doi: 10.48550/arxiv.2506.05691 · pith_short_12: ISSPL2GGU6OM · pith_short_16: ISSPL2GGU6OM4A7O · pith_short_8: ISSPL2GG

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/ISSPL2GGU6OM4A7OGXUCQCAX2L \
  | 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: 44a4f5e8c6a79cce03ee35e8280817d2c4d47365548cedafc15f7eb3b3f8d046

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "384fc3037bb7506caa0de4c4d51ef0c8932720d1f75bc8008b53b6f618a61a82",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-06T02:46:06Z",
    "title_canon_sha256": "c4086f34c8828b0fc3eb428087e560ba1a4716df7a88bddde4e092d48e1b40ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.05691",
    "kind": "arxiv",
    "version": 1
  }
}