Pith Number

pith:CHEQSX7Z

pith:2018:CHEQSX7ZTP5XTQH3B4B3SVM6IA

not attested not anchored not stored refs pending

Furstenberg systems of bounded multiplicative functions and applications

Bernard Host, Nikos Frantzikinakis

arxiv:1804.08556 v3 · 2018-04-23 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CHEQSX7ZTP5XTQH3B4B3SVM6IA}

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	2026-05-17T23:52:07.779691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11c9095ff99bfb79c0fb0f03b9559e402c02ec96cbf8949f83b58dcb58eaf911

Aliases

arxiv: 1804.08556 · arxiv_version: 1804.08556v3 · doi: 10.48550/arxiv.1804.08556 · pith_short_12: CHEQSX7ZTP5X · pith_short_16: CHEQSX7ZTP5XTQH3 · pith_short_8: CHEQSX7Z

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/CHEQSX7ZTP5XTQH3B4B3SVM6IA \
  | 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: 11c9095ff99bfb79c0fb0f03b9559e402c02ec96cbf8949f83b58dcb58eaf911

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0b2bb216b023c0d8af442422286f9b61c069d01a6cb9887b38d8890bf4258a1",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-04-23T16:45:43Z",
    "title_canon_sha256": "5997cd85ffef166a19f45c92f9a5506e4bb7e237aa8ee96926e20d9a13a7177b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08556",
    "kind": "arxiv",
    "version": 3
  }
}