Pith Number

pith:Q5J5OZP6

pith:2014:Q5J5OZP6RLEMDTCQJUWH7IKCNY

not attested not anchored not stored refs pending

Convolutions with probability distributions, zeros of L-functions, and the least quadratic nonresidue

Konstantin A. Makarov, William D. Banks

arxiv:1411.2009 v2 · 2014-11-07 · math.NT · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q5J5OZP6RLEMDTCQJUWH7IKCNY}

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	2026-05-18T02:12:11.179067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8753d765fe8ac8c1cc504d2c7fa1426e37fc4d34d941827559b6db916d20ba46

Aliases

arxiv: 1411.2009 · arxiv_version: 1411.2009v2 · doi: 10.48550/arxiv.1411.2009 · pith_short_12: Q5J5OZP6RLEM · pith_short_16: Q5J5OZP6RLEMDTCQ · pith_short_8: Q5J5OZP6

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/Q5J5OZP6RLEMDTCQJUWH7IKCNY \
  | 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: 8753d765fe8ac8c1cc504d2c7fa1426e37fc4d34d941827559b6db916d20ba46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cc60d365a9a4bcd40a8ed7958e1f454a6d8737880a85a4e2374f51bbfe2487f",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-11-07T19:18:20Z",
    "title_canon_sha256": "05a8924229269437a401caf3e1b8926779fba40ba2a806f0ad82370c0ba366a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2009",
    "kind": "arxiv",
    "version": 2
  }
}