Pith Number

pith:SYNDLQSN

pith:2017:SYNDLQSNL4B47MOG3SIVU2RTXE

not attested not anchored not stored refs pending

Integer part independent polynomial averages and applications along primes

Andreas Koutsogiannis, Dimitris Karageorgos

arxiv:1708.06820 v1 · 2017-08-07 · math.CA · math.DS · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SYNDLQSNL4B47MOG3SIVU2RTXE}

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	2026-05-18T00:36:21.714068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

961a35c24d5f03cfb1c6dc915a6a33b91f1846803d77b0481dfcc9ad7d560c10

Aliases

arxiv: 1708.06820 · arxiv_version: 1708.06820v1 · doi: 10.48550/arxiv.1708.06820 · pith_short_12: SYNDLQSNL4B4 · pith_short_16: SYNDLQSNL4B47MOG · pith_short_8: SYNDLQSN

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/SYNDLQSNL4B47MOG3SIVU2RTXE \
  | 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: 961a35c24d5f03cfb1c6dc915a6a33b91f1846803d77b0481dfcc9ad7d560c10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31cf26b164ae75fb91bdebb86471778a9f2a4850469eed1af7698a4d2d5846ac",
    "cross_cats_sorted": [
      "math.DS",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-08-07T00:45:43Z",
    "title_canon_sha256": "4a4870fd456441da6a834e72bc93191a538a11cb04b2b85c45d392f94c242bbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06820",
    "kind": "arxiv",
    "version": 1
  }
}