Pith Number

pith:2OLMBVCD

pith:2015:2OLMBVCDIMNNQVXDRLMHZFB465

not attested not anchored not stored refs pending

G\'al-type GCD sums beyond the critical line

Andriy Bondarenko, Kristian Seip, Titus Hilberdink

arxiv:1512.03758 v2 · 2015-12-11 · 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{2OLMBVCDIMNNQVXDRLMHZFB465}

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	2026-05-18T01:17:24.872776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d396c0d443431ad856e38ad87c943cf758f0a6648d0edd32366709fedf74c00a

Aliases

arxiv: 1512.03758 · arxiv_version: 1512.03758v2 · doi: 10.48550/arxiv.1512.03758 · pith_short_12: 2OLMBVCDIMNN · pith_short_16: 2OLMBVCDIMNNQVXD · pith_short_8: 2OLMBVCD

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/2OLMBVCDIMNNQVXDRLMHZFB465 \
  | 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: d396c0d443431ad856e38ad87c943cf758f0a6648d0edd32366709fedf74c00a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d680a59a35badf729b1767d64127718d0995d87568eeb0d19a89f33479d59b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-11T19:04:09Z",
    "title_canon_sha256": "d311b96c4a61b12ab5b2c4ea00a9d1ec8946e20fb77c1f81c0987d14cb19f23c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03758",
    "kind": "arxiv",
    "version": 2
  }
}