Pith Number

pith:27B3S5PU

pith:2025:27B3S5PUMAXIRFQAKU73RKIHYN

not attested not anchored not stored refs pending

A note on iterated sumsets races

Anne de Roton, Paul P\'eringuey

arxiv:2505.11233 v1 · 2025-05-16 · 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{27B3S5PUMAXIRFQAKU73RKIHYN}

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

4 papers in Pith

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

Explicit sumset sizes in additive number theory

Intersections of sumsets in additive number theory

Diversity, equity, and inclusion for problems in additive number theory

Receipt and verification

First computed	2026-07-05T11:04:13.098189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7c3b975f4602e889600553fb8a907c35ab492165438adebf11ff34ca0ea662e

Aliases

arxiv: 2505.11233 · arxiv_version: 2505.11233v1 · doi: 10.48550/arxiv.2505.11233 · pith_short_12: 27B3S5PUMAXI · pith_short_16: 27B3S5PUMAXIRFQA · pith_short_8: 27B3S5PU

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/27B3S5PUMAXIRFQAKU73RKIHYN \
  | 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: d7c3b975f4602e889600553fb8a907c35ab492165438adebf11ff34ca0ea662e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b10a64c5c399604f9352b08b749c2d60a16bb5d66ba29c7bf359da501cd3e40",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-05-16T13:26:29Z",
    "title_canon_sha256": "4062b8a8629bc0feca4060f80a50654d9618118ebdf9a537f515d32ad71f1f3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.11233",
    "kind": "arxiv",
    "version": 1
  }
}