Pith Number

pith:3XMNRVUD

pith:2016:3XMNRVUDFFMZ7OMXUDZ2FHMAFY

not attested not anchored not stored refs pending

An averaged Chowla and Elliott conjecture along independent polynomials

Nikos Frantzikinakis

arxiv:1606.08420 v2 · 2016-06-27 · 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{3XMNRVUDFFMZ7OMXUDZ2FHMAFY}

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	2026-05-18T00:53:20.806428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddd8d8d68329599fb997a0f3a29d802e157644c52094dbc3ba62a193c80ceda1

Aliases

arxiv: 1606.08420 · arxiv_version: 1606.08420v2 · doi: 10.48550/arxiv.1606.08420 · pith_short_12: 3XMNRVUDFFMZ · pith_short_16: 3XMNRVUDFFMZ7OMX · pith_short_8: 3XMNRVUD

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/3XMNRVUDFFMZ7OMXUDZ2FHMAFY \
  | 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: ddd8d8d68329599fb997a0f3a29d802e157644c52094dbc3ba62a193c80ceda1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96b3a55acc0fc61a9e5590d6bcce0bf31392018e22cfbaab206835b59a275f68",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-27T19:42:17Z",
    "title_canon_sha256": "6d449fcb2daee4c8440c4b18414b525790bfc25d8173b3e0d2e3a7baba6ca3e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08420",
    "kind": "arxiv",
    "version": 2
  }
}