Pith Number

pith:ET76GH2B

pith:2023:ET76GH2BCKAI7OR6IWJXG3ROI2

not attested not anchored not stored refs pending

A Note on the Union-closed Sets Conjecture

Mohammad Javad Moghaddas Mehr

arxiv:2309.01704 v3 · 2023-09-04 · 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{ET76GH2BCKAI7OR6IWJXG3ROI2}

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

On the Averaging Problem of Ideal Families Related to Frankl's Conjecture with Formal Proof by Lean 4

Receipt and verification

First computed	2026-07-05T06:49:26.024007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24ffe31f4112808fba3e4593736e2e4688f3d2b6aa9d6e81b84ae2aad6535cdb

Aliases

arxiv: 2309.01704 · arxiv_version: 2309.01704v3 · doi: 10.48550/arxiv.2309.01704 · pith_short_12: ET76GH2BCKAI · pith_short_16: ET76GH2BCKAI7OR6 · pith_short_8: ET76GH2B

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/ET76GH2BCKAI7OR6IWJXG3ROI2 \
  | 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: 24ffe31f4112808fba3e4593736e2e4688f3d2b6aa9d6e81b84ae2aad6535cdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b93f12cb23cf87e1657574b81441fb5fd824d153ee5c563cbfbca84713ced695",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-09-04T16:29:20Z",
    "title_canon_sha256": "a319748e4602d35efd779071981bf8930cd054fe29f981167ebfddfb0754773b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.01704",
    "kind": "arxiv",
    "version": 3
  }
}