Pith Number

pith:ACJFUYDX

pith:2025:ACJFUYDXWGIHIR4XPQOMFEYFT3

not attested not anchored not stored refs pending

${\mathbf Q}$-independence and the construction of $B_h$-sets of integers and lattice points

Melvyn B. Nathanson

arxiv:2502.13039 v3 · 2025-02-18 · 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{ACJFUYDXWGIHIR4XPQOMFEYFT3}

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

Triangular and tetrahedral number differences of sumset sizes in additive number theory

Receipt and verification

First computed	2026-07-05T10:17:54.661993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00925a6077b1907447977c1cc293059ef759f1f440da2418d69a98ab962b9e7c

Aliases

arxiv: 2502.13039 · arxiv_version: 2502.13039v3 · doi: 10.48550/arxiv.2502.13039 · pith_short_12: ACJFUYDXWGIH · pith_short_16: ACJFUYDXWGIHIR4X · pith_short_8: ACJFUYDX

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/ACJFUYDXWGIHIR4XPQOMFEYFT3 \
  | 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: 00925a6077b1907447977c1cc293059ef759f1f440da2418d69a98ab962b9e7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bc3199a9f530990b1663b00846901f0b7a749e04ecfd7c1199aa279db608670",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-02-18T16:50:42Z",
    "title_canon_sha256": "c64ee556108aae6cdf289a58ab393edf1bf5b076820a5ddcc34115e23454e050"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.13039",
    "kind": "arxiv",
    "version": 3
  }
}