Pith Number

pith:NKKMKRMR

pith:2014:NKKMKRMR3X2QHCSCWAHQX2ZVN7

not attested not anchored not stored refs pending

Gaps between zeros of Dedekind zeta-functions of quadratic number fields. II

Caroline L. Turnage-Butterbaugh, H. M. Bui, Winston Heap

arxiv:1410.3888 v2 · 2014-10-14 · 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{NKKMKRMR3X2QHCSCWAHQX2ZVN7}

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	2026-05-18T01:11:21.898481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a94c54591ddf5038a42b00f0beb356fe5294cb96f488e82616ff518b05dc649

Aliases

arxiv: 1410.3888 · arxiv_version: 1410.3888v2 · doi: 10.48550/arxiv.1410.3888 · pith_short_12: NKKMKRMR3X2Q · pith_short_16: NKKMKRMR3X2QHCSC · pith_short_8: NKKMKRMR

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/NKKMKRMR3X2QHCSCWAHQX2ZVN7 \
  | 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: 6a94c54591ddf5038a42b00f0beb356fe5294cb96f488e82616ff518b05dc649

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c9b48c1b667ef266cf075cddfbdc6a2d524c7b8966a00bc0f9e97ca829723d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-14T22:59:44Z",
    "title_canon_sha256": "4e7687c51ebb4b47fc822295518e3e9514b2406486814e81d42ece1882d86768"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3888",
    "kind": "arxiv",
    "version": 2
  }
}