Pith Number

pith:F7EI77VS

pith:2025:F7EI77VSAWRGA23ITFVQRZFHWG

not attested not anchored not stored refs pending

$B_h$-sets of real and complex numbers

Melvyn B. Nathanson

arxiv:2502.21272 v3 · 2025-02-28 · 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{F7EI77VSAWRGA23ITFVQRZFHWG}

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

Is it true that most sets are Sidon?

Receipt and verification

First computed	2026-07-05T10:25:18.842669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fc88ffeb205a2606b68996b08e4a7b1b093c92287baffd9671bfcd0087180e1

Aliases

arxiv: 2502.21272 · arxiv_version: 2502.21272v3 · doi: 10.48550/arxiv.2502.21272 · pith_short_12: F7EI77VSAWRG · pith_short_16: F7EI77VSAWRGA23I · pith_short_8: F7EI77VS

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/F7EI77VSAWRGA23ITFVQRZFHWG \
  | 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: 2fc88ffeb205a2606b68996b08e4a7b1b093c92287baffd9671bfcd0087180e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3014590e64bcd93caa532840ffc293e4c4458911b4c9d0c77b80c981c520495",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-02-28T17:48:56Z",
    "title_canon_sha256": "a62e80f34363b4ca86ce73f32bea69443ac71f084d33d2fb9777ba669df17191"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.21272",
    "kind": "arxiv",
    "version": 3
  }
}