Pith Number

pith:WP7BNUAT

pith:2017:WP7BNUAT6FDFSD24GEUD4E6EZO

not attested not anchored not stored refs pending

The logarithmic Sarnak conjecture for ergodic weights

Bernard Host, Nikos Frantzikinakis

arxiv:1708.00677 v4 · 2017-08-02 · 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{WP7BNUAT6FDFSD24GEUD4E6EZO}

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	2026-05-17T23:54:56.748816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3fe16d013f146590f5c31283e13c4cbbb8f3fc2f85f6123d7974415fb548ff3

Aliases

arxiv: 1708.00677 · arxiv_version: 1708.00677v4 · doi: 10.48550/arxiv.1708.00677 · pith_short_12: WP7BNUAT6FDF · pith_short_16: WP7BNUAT6FDFSD24 · pith_short_8: WP7BNUAT

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/WP7BNUAT6FDFSD24GEUD4E6EZO \
  | 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: b3fe16d013f146590f5c31283e13c4cbbb8f3fc2f85f6123d7974415fb548ff3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "167aedea2f25a4d79668cb203c4d42f5e069a339f75d0ce55cdfa6f9f0a4d4ac",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-08-02T10:05:33Z",
    "title_canon_sha256": "066c9be49660c9d009eac3b9102ef7fec4c849fce268a9a43ceb033d382d48ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00677",
    "kind": "arxiv",
    "version": 4
  }
}