Pith Number

pith:BKNQMPE5

pith:2018:BKNQMPE5NVEPNQAHI4MIFALEJX

not attested not anchored not stored refs pending

A Fourier-Analytic Approach for the Discrepancy of Random Set Systems

Rebecca Hoberg, Thomas Rothvoss

arxiv:1806.04484 v2 · 2018-06-12 · math.CO · cs.CC · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKNQMPE5NVEPNQAHI4MIFALEJX}

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	2026-05-18T00:10:51.673289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a9b063c9d6d48f6c00747188281644ddcc311892a794fd797954736574e995b

Aliases

arxiv: 1806.04484 · arxiv_version: 1806.04484v2 · doi: 10.48550/arxiv.1806.04484 · pith_short_12: BKNQMPE5NVEP · pith_short_16: BKNQMPE5NVEPNQAH · pith_short_8: BKNQMPE5

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/BKNQMPE5NVEPNQAHI4MIFALEJX \
  | 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: 0a9b063c9d6d48f6c00747188281644ddcc311892a794fd797954736574e995b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38d0a91a15d3f85d9d111aced9534a5ec216faea198233ea27a8eb7a99a36215",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-12T13:10:48Z",
    "title_canon_sha256": "96b1eb0e02dd664cf73b8f3bbbd2718380cebe8ae3306af7e5feadca71063b26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.04484",
    "kind": "arxiv",
    "version": 2
  }
}