Pith Number

pith:Y6SNMFGK

pith:2019:Y6SNMFGKSKMB2RZMXCDAWVTEKH

not attested not anchored not stored refs pending

Correlations of multiplicative functions along deterministic and independent sequences

Nikos Frantzikinakis

arxiv:1908.02732 v2 · 2019-08-07 · 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{Y6SNMFGKSKMB2RZMXCDAWVTEKH}

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	2026-07-05T01:07:50.178124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7a4d614ca92981d472cb8860b566451c227d5a945477022e397e9e9ff595d38

Aliases

arxiv: 1908.02732 · arxiv_version: 1908.02732v2 · doi: 10.48550/arxiv.1908.02732 · pith_short_12: Y6SNMFGKSKMB · pith_short_16: Y6SNMFGKSKMB2RZM · pith_short_8: Y6SNMFGK

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/Y6SNMFGKSKMB2RZMXCDAWVTEKH \
  | 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: c7a4d614ca92981d472cb8860b566451c227d5a945477022e397e9e9ff595d38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c540731e1454d0d0459366d969b7d05ae2cae6ad7d16c73f17b5fd1b3fe5171b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-07T17:08:00Z",
    "title_canon_sha256": "a40d812eeb40112c8d70e6fe650a962ded4d9ad1affc9a1920af17aa1db9738b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02732",
    "kind": "arxiv",
    "version": 2
  }
}