Pith Number

pith:DCSR4QPF

pith:2008:DCSR4QPFUGBAYQLTHSIHVQC3NK

not attested not anchored not stored refs pending

Zeros of Dirichlet series with periodic coefficients

Andreas Weingartner, Eric Saias

arxiv:0807.0783 v1 · 2008-07-04 · 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{DCSR4QPFUGBAYQLTHSIHVQC3NK}

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	2026-05-18T02:15:45.603725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18a51e41e5a1820c41733c907ac05b6a9bc08e85f29ec219a87bb897567854d7

Aliases

arxiv: 0807.0783 · arxiv_version: 0807.0783v1 · doi: 10.48550/arxiv.0807.0783 · pith_short_12: DCSR4QPFUGBA · pith_short_16: DCSR4QPFUGBAYQLT · pith_short_8: DCSR4QPF

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/DCSR4QPFUGBAYQLTHSIHVQC3NK \
  | 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: 18a51e41e5a1820c41733c907ac05b6a9bc08e85f29ec219a87bb897567854d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2ff27e36c5dec4007c1c536cedb9578ab1875b088b359f482c351254bf8fe6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-07-04T15:48:39Z",
    "title_canon_sha256": "d459f48d0f3a407017aa90835befa9720c4103fdcca268b95804deaac3aec6e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.0783",
    "kind": "arxiv",
    "version": 1
  }
}