Pith Number

pith:2YTZDWTS

pith:2017:2YTZDWTS7UFDLFF3HQCC2W4HSY

not attested not anchored not stored refs pending

Sarnak's conjecture implies the Chowla conjecture along a subsequence

Alexander Gomilko, Dominik Kwietniak, Mariusz Lema\'nczyk

arxiv:1710.07049 v1 · 2017-10-19 · 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{2YTZDWTS7UFDLFF3HQCC2W4HSY}

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	2026-05-18T00:32:27.200907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d62791da72fd0a3594bb3c042d5b8796213b4e7978a280c07380691b7ae155f0

Aliases

arxiv: 1710.07049 · arxiv_version: 1710.07049v1 · doi: 10.48550/arxiv.1710.07049 · pith_short_12: 2YTZDWTS7UFD · pith_short_16: 2YTZDWTS7UFDLFF3 · pith_short_8: 2YTZDWTS

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/2YTZDWTS7UFDLFF3HQCC2W4HSY \
  | 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: d62791da72fd0a3594bb3c042d5b8796213b4e7978a280c07380691b7ae155f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "337927e3aa50bb420c753a4cc5fb45b75a8973b9008db971011548e722c5680c",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-19T09:24:47Z",
    "title_canon_sha256": "181ee943714323af6400e1b05937129af5012fb958dd643acef5c721d9c3334a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07049",
    "kind": "arxiv",
    "version": 1
  }
}