Pith Number

pith:Y5TMX7RA

pith:2017:Y5TMX7RAK6W2YVW4TH2ICVDR7F

not attested not anchored not stored refs pending

On a conjecture of Erd\H{o}s about sets without $k$ pairwise coprime integers

Csaba S\'andor, Quan-Hui Yang, S\'andor Z. Kiss

arxiv:1705.05730 v1 · 2017-05-16 · 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{Y5TMX7RAK6W2YVW4TH2ICVDR7F}

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	2026-05-18T00:44:20.338521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c766cbfe2057adac56dc99f4815471f95cf96f2f0919719cf8b516fbd707693a

Aliases

arxiv: 1705.05730 · arxiv_version: 1705.05730v1 · doi: 10.48550/arxiv.1705.05730 · pith_short_12: Y5TMX7RAK6W2 · pith_short_16: Y5TMX7RAK6W2YVW4 · pith_short_8: Y5TMX7RA

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/Y5TMX7RAK6W2YVW4TH2ICVDR7F \
  | 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: c766cbfe2057adac56dc99f4815471f95cf96f2f0919719cf8b516fbd707693a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd2b464a59da2a0d40bbde08935052f694d4b1643eb1bbf38ccb77997ae875cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-05-16T14:39:07Z",
    "title_canon_sha256": "d803cf32be5b9e129b728b8ca9a06dfcfbde16b8ff8c3420eb6b4476cc8daec2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.05730",
    "kind": "arxiv",
    "version": 1
  }
}