Pith Number

pith:QCQAGBFY

pith:2023:QCQAGBFYSHTMOSGEFMPONZ4DNL

not attested not anchored not stored refs pending

Ergodic averages for sparse sequences along primes

Andreas Koutsogiannis, Konstantinos Tsinas

arxiv:2309.04939 v1 · 2023-09-10 · math.DS · math.CO · 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{QCQAGBFYSHTMOSGEFMPONZ4DNL}

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.

Cited by

1 paper in Pith

Resolving the joint ergodicity problem for Hardy sequences

Receipt and verification

First computed	2026-07-05T06:49:28.780388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80a00304b891e6c748c42b1ee6e7836ac75cd543ed5fcac1b32bb4e293acbbe5

Aliases

arxiv: 2309.04939 · arxiv_version: 2309.04939v1 · doi: 10.48550/arxiv.2309.04939 · pith_short_12: QCQAGBFYSHTM · pith_short_16: QCQAGBFYSHTMOSGE · pith_short_8: QCQAGBFY

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/QCQAGBFYSHTMOSGEFMPONZ4DNL \
  | 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: 80a00304b891e6c748c42b1ee6e7836ac75cd543ed5fcac1b32bb4e293acbbe5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84b4acddab68f9c9b22549053d58a2ce98753313595305c2c06f8f08d918ff96",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2023-09-10T06:08:34Z",
    "title_canon_sha256": "29dbba074220bbe0426b5d80b9bb3eab089b3a8d631faebbfa4e57df1080d228"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.04939",
    "kind": "arxiv",
    "version": 1
  }
}