Pith Number

pith:SXJH3CIQ

pith:2017:SXJH3CIQFUERXOHRL7JPZWCCNI

not attested not anchored not stored refs pending

M\"obius disjointness for models of an ergodic system and beyond

el Houcein el Abdalaoui, Joanna Ku{\l}aga-Przymus, Mariusz Lema\'nczyk, Thierry de la Rue

arxiv:1704.03506 v2 · 2017-04-11 · 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{SXJH3CIQFUERXOHRL7JPZWCCNI}

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	2026-05-18T00:23:23.299293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95d27d89102d091bb8f15fd2fcd8426a0df41f0c239cae4f87f0c0ad8c3d3fa6

Aliases

arxiv: 1704.03506 · arxiv_version: 1704.03506v2 · doi: 10.48550/arxiv.1704.03506 · pith_short_12: SXJH3CIQFUER · pith_short_16: SXJH3CIQFUERXOHR · pith_short_8: SXJH3CIQ

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/SXJH3CIQFUERXOHRL7JPZWCCNI \
  | 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: 95d27d89102d091bb8f15fd2fcd8426a0df41f0c239cae4f87f0c0ad8c3d3fa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11d4931d03466a6ebc2dde6bc18803333ebc069204e91ef0db6d3ac16bad0fee",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-04-11T19:30:32Z",
    "title_canon_sha256": "62ffcbabe087ff57803ed5b41da7f1b5120767b9ca843e649bc9a86f033273ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.03506",
    "kind": "arxiv",
    "version": 2
  }
}