Pith Number

pith:WF6QX2LC

pith:2016:WF6QX2LCOR5NOTWP2TSMSGAPJO

not attested not anchored not stored refs pending

Automatic sequences fulfill the Sarnak conjecture

Clemens M\"ullner

arxiv:1602.03042 v3 · 2016-02-09 · 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{WF6QX2LCOR5NOTWP2TSMSGAPJO}

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	2026-05-18T00:23:01.917557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b17d0be962747ad74ecfd4e4c9180f4ba296fce8a6432095b686a2b93583317e

Aliases

arxiv: 1602.03042 · arxiv_version: 1602.03042v3 · doi: 10.48550/arxiv.1602.03042 · pith_short_12: WF6QX2LCOR5N · pith_short_16: WF6QX2LCOR5NOTWP · pith_short_8: WF6QX2LC

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/WF6QX2LCOR5NOTWP2TSMSGAPJO \
  | 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: b17d0be962747ad74ecfd4e4c9180f4ba296fce8a6432095b686a2b93583317e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7c9a7eb08433ed7706a17eab86ffb306193212ad13e59e07690eb23c687292d",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-09T15:55:14Z",
    "title_canon_sha256": "82cbd582e04c9880c7ba646def150bba49666b7e6fb974dcc71e933fff55fafe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03042",
    "kind": "arxiv",
    "version": 3
  }
}