Pith Number

pith:BCL2KOPA

pith:2017:BCL2KOPAUU4P6CWAVMUCVHG7GO

not attested not anchored not stored refs pending

Sarnak's Conjecture -- what's new

J. Ku{\l}aga-Przymus, M. Lema\'nczyk, S. Ferenczi

arxiv:1710.04039 v1 · 2017-10-11 · 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{BCL2KOPAUU4P6CWAVMUCVHG7GO}

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	2026-05-18T00:33:05.221554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0897a539e0a538ff0ac0ab282a9cdf33b6527683199efdc5125ac5e35585b70b

Aliases

arxiv: 1710.04039 · arxiv_version: 1710.04039v1 · doi: 10.48550/arxiv.1710.04039 · pith_short_12: BCL2KOPAUU4P · pith_short_16: BCL2KOPAUU4P6CWA · pith_short_8: BCL2KOPA

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/BCL2KOPAUU4P6CWAVMUCVHG7GO \
  | 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: 0897a539e0a538ff0ac0ab282a9cdf33b6527683199efdc5125ac5e35585b70b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b13ae23683bf756f1d0af46fb06bb1d8af3ad1d5deafccad19b5be737f892b7e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-10-11T12:50:35Z",
    "title_canon_sha256": "3796b3e192d19d9d4187b1b3358e7f22ab6655b27b487385338c6303c5332a55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.04039",
    "kind": "arxiv",
    "version": 1
  }
}