Pith Number

pith:QCECVVEB

pith:2016:QCECVVEBMSGJ6LP2HKRGKRSACI

not attested not anchored not stored refs pending

Sign Changes of Coefficients and Sums of Coefficients of L-Functions

Alexander Walker, Chan Ieong Kuan, David Lowry-Duda, Thomas A. Hulse

arxiv:1606.00067 v3 · 2016-05-31 · 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{QCECVVEBMSGJ6LP2HKRGKRSACI}

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	2026-05-18T00:45:06.550822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80882ad481648c9f2dfa3aa2654640123b2228d986ea51d7ca15a263f97df6b2

Aliases

arxiv: 1606.00067 · arxiv_version: 1606.00067v3 · doi: 10.48550/arxiv.1606.00067 · pith_short_12: QCECVVEBMSGJ · pith_short_16: QCECVVEBMSGJ6LP2 · pith_short_8: QCECVVEB

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/QCECVVEBMSGJ6LP2HKRGKRSACI \
  | 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: 80882ad481648c9f2dfa3aa2654640123b2228d986ea51d7ca15a263f97df6b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "379541599c6fd252f04ed14a451bf132e54fefd3927c002dc17756f1e3511ff9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-05-31T22:33:50Z",
    "title_canon_sha256": "3674ffdb021885774bd6e4954914abdefed748e8ea9d5079a48a24cb493a6fec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00067",
    "kind": "arxiv",
    "version": 3
  }
}