Pith Number

pith:ERAW5Q4B

pith:2018:ERAW5Q4BQEKDDGPSVXKEQ56DMB

not attested not anchored not stored refs pending

The number of multiplicative Sidon sets of integers

Hong Liu, P\'eter P\'al Pach

arxiv:1808.06182 v1 · 2018-08-19 · 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{ERAW5Q4BQEKDDGPSVXKEQ56DMB}

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.

Receipt and verification

First computed	2026-05-18T00:07:45.801617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24416ec38181143199f2add44877c3607e26faa5f22af66d6d7cba3ea820e78a

Aliases

arxiv: 1808.06182 · arxiv_version: 1808.06182v1 · doi: 10.48550/arxiv.1808.06182 · pith_short_12: ERAW5Q4BQEKD · pith_short_16: ERAW5Q4BQEKDDGPS · pith_short_8: ERAW5Q4B

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/ERAW5Q4BQEKDDGPSVXKEQ56DMB \
  | 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: 24416ec38181143199f2add44877c3607e26faa5f22af66d6d7cba3ea820e78a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bac0a9c7da0a917630bb34901527d8e5895035999f327875ab9d0adb56ff7052",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-08-19T08:05:43Z",
    "title_canon_sha256": "abc112e7ab918c6d033a7da8706bc1c8d6e3bc0fb8c804b0993263a686cf939e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.06182",
    "kind": "arxiv",
    "version": 1
  }
}