Pith Number

pith:F6KHQNJM

pith:2009:F6KHQNJMFZL2SOTX5LJ6NLLSQ7

not attested not anchored not stored refs pending

On Mean Values of Dirichlet Polynomials

Michel Weber

arxiv:0907.4767 v1 · 2009-07-28 · 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{F6KHQNJMFZL2SOTX5LJ6NLLSQ7}

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	2026-05-18T00:40:29.129060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f9478352c2e57a93a77ead3e6ad7287ed68017e524d00e86ac99347378fa089

Aliases

arxiv: 0907.4767 · arxiv_version: 0907.4767v1 · doi: 10.48550/arxiv.0907.4767 · pith_short_12: F6KHQNJMFZL2 · pith_short_16: F6KHQNJMFZL2SOTX · pith_short_8: F6KHQNJM

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/F6KHQNJMFZL2SOTX5LJ6NLLSQ7 \
  | 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: 2f9478352c2e57a93a77ead3e6ad7287ed68017e524d00e86ac99347378fa089

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b90455038d973c8473c3f6daff8421debc692b22bf0d8563664e5af76b489707",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-07-28T14:44:44Z",
    "title_canon_sha256": "508f0fb71b417072303980e4374c12e03226f49efa462ddc9eeff9f170e64c82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4767",
    "kind": "arxiv",
    "version": 1
  }
}