Pith Number

pith:WJWGRZI4

pith:2017:WJWGRZI4FGFWDCGNYMIAD3TPK3

not attested not anchored not stored refs pending

On infinite multiplicative Sidon sets

Csaba S\'andor, P\'eter P\'al Pach

arxiv:1709.03550 v1 · 2017-09-11 · 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{WJWGRZI4FGFWDCGNYMIAD3TPK3}

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	2026-05-18T00:35:30.197251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b26c68e51c298b6188cdc31001ee6f56c4435367533d6a74dfa8c93cad53fa58

Aliases

arxiv: 1709.03550 · arxiv_version: 1709.03550v1 · doi: 10.48550/arxiv.1709.03550 · pith_short_12: WJWGRZI4FGFW · pith_short_16: WJWGRZI4FGFWDCGN · pith_short_8: WJWGRZI4

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/WJWGRZI4FGFWDCGNYMIAD3TPK3 \
  | 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: b26c68e51c298b6188cdc31001ee6f56c4435367533d6a74dfa8c93cad53fa58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c229b655476a15ed07376b70c3a93f9e2ac744ec054ae3198581282b7d5d05f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-09-11T19:06:58Z",
    "title_canon_sha256": "6833b67d3dc0b695b8f226058650f9cc009b771f5176782ac080f522477e47a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03550",
    "kind": "arxiv",
    "version": 1
  }
}