Pith Number

pith:Y6QLLB4A

pith:2024:Y6QLLB4ADINIWW4TF4MVAH3U6E

not attested not anchored not stored refs pending

Averages of arithmetic functions over polynomials in many variables

Efthymios Sofos, Kevin Destagnol

arxiv:2409.18116 v1 · 2024-09-26 · 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{Y6QLLB4ADINIWW4TF4MVAH3U6E}

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	2026-07-05T09:12:20.921047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7a0b587801a1a8b5b932f19501f74f11c5be3a0864212a317d67643311910ab

Aliases

arxiv: 2409.18116 · arxiv_version: 2409.18116v1 · doi: 10.48550/arxiv.2409.18116 · pith_short_12: Y6QLLB4ADINI · pith_short_16: Y6QLLB4ADINIWW4T · pith_short_8: Y6QLLB4A

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/Y6QLLB4ADINIWW4TF4MVAH3U6E \
  | 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: c7a0b587801a1a8b5b932f19501f74f11c5be3a0864212a317d67643311910ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcbf10331fbae4586df74abe5e033054e575fdeaa2dd2a29534ea6f82910901c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-09-26T17:55:36Z",
    "title_canon_sha256": "cf470198f891a75f0bee99477e57eb759d7d9ee5613fea1c8671894d8a117b87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.18116",
    "kind": "arxiv",
    "version": 1
  }
}