Pith Number

pith:BFMM7KLN

pith:2016:BFMM7KLNADC54N2SNJ7ZNL5RZJ

not attested not anchored not stored refs pending

M\"{o}bius disjointness for topological models of ergodic systems with discrete spectrum

Guohua Zhang, Wen Huang, Zhiren Wang

arxiv:1608.08289 v2 · 2016-08-30 · math.DS · 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{BFMM7KLNADC54N2SNJ7ZNL5RZJ}

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	2026-05-18T01:04:53.232276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0958cfa96d00c5de37526a7f96afb1ca5b95c62e5b546ef5c47c23ef2398658a

Aliases

arxiv: 1608.08289 · arxiv_version: 1608.08289v2 · doi: 10.48550/arxiv.1608.08289 · pith_short_12: BFMM7KLNADC5 · pith_short_16: BFMM7KLNADC54N2S · pith_short_8: BFMM7KLN

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/BFMM7KLNADC54N2SNJ7ZNL5RZJ \
  | 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: 0958cfa96d00c5de37526a7f96afb1ca5b95c62e5b546ef5c47c23ef2398658a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82efef915afd27f13eb34a146ba7f4d1fd0ba2b0c84e9c522bda47a3805f1d76",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-08-30T00:48:10Z",
    "title_canon_sha256": "7a5f4dbbc2fcc290656324ac29fa90103633cae14437c565d9c9f5338fa6931d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08289",
    "kind": "arxiv",
    "version": 2
  }
}