Pith Number

pith:DBNK35IL

pith:2022:DBNK35ILG543HQCKA4HDUZ2PBD

not attested not anchored not stored refs pending

Improved Lower Bound for Frankl's Union-Closed Sets Conjecture

Brice Huang, Mark Sellke, Ryan Alweiss

arxiv:2211.11731 v4 · 2022-11-21 · 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{DBNK35ILG543HQCKA4HDUZ2PBD}

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

Redundancy Is All You Need (for CSP Sparsification)

Receipt and verification

First computed	2026-07-05T08:40:51.857356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

185aadf50b3779b3c04a070e3a674f08e18b3dce2bdf38951dcf72eaf91f4bfd

Aliases

arxiv: 2211.11731 · arxiv_version: 2211.11731v4 · doi: 10.48550/arxiv.2211.11731 · pith_short_12: DBNK35ILG543 · pith_short_16: DBNK35ILG543HQCK · pith_short_8: DBNK35IL

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/DBNK35ILG543HQCKA4HDUZ2PBD \
  | 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: 185aadf50b3779b3c04a070e3a674f08e18b3dce2bdf38951dcf72eaf91f4bfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52a27e938d19035fa52f98603310968061258c505ef4b84c8fb11df5cd9fce14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-11-21T18:53:06Z",
    "title_canon_sha256": "078390bbf54c44f5866013083bdfa13c9adfd5249194b79398b0f0a960573192"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.11731",
    "kind": "arxiv",
    "version": 4
  }
}