pith. sign in
Pith Number

pith:XV337QQN

pith:2018:XV337QQNCO6WHYF62QMTQB6YHD
not attested not anchored not stored refs pending

On certain sums over ordinates of zeta-zeros II

Aleksandar Ivi\'c, Andriy Bondarenko, Eero Saksman, Kristian Seip

arxiv:1808.01763 v1 · 2018-08-06 · math.NT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XV337QQNCO6WHYF62QMTQB6YHD}

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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 2026-05-18T00:08:49.704942Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bd77bfc20d13bd63e0bed4193807d838ecf9b6ab553c9cf42a0a3f4e649ed137

Aliases

arxiv: 1808.01763 · arxiv_version: 1808.01763v1 · doi: 10.48550/arxiv.1808.01763 · pith_short_12: XV337QQNCO6W · pith_short_16: XV337QQNCO6WHYF6 · pith_short_8: XV337QQN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XV337QQNCO6WHYF62QMTQB6YHD \
  | 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: bd77bfc20d13bd63e0bed4193807d838ecf9b6ab553c9cf42a0a3f4e649ed137
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0e799e2d91dc8122d20aeec2813f7c5d5cbb13a54911c1ac5d091b5b61ee768a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-08-06T08:22:27Z",
    "title_canon_sha256": "3475a871dd03e8c73d1e444e49b99bbf967139b5ab97278b9876903a05ce0723"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01763",
    "kind": "arxiv",
    "version": 1
  }
}