Pith Number

pith:7OF4XKST

pith:2015:7OF4XKSTPTVERXBTEELOLOCSUQ

not attested not anchored not stored refs pending

On the variance of sums of arithmetic functions over primes in short intervals and pair correlation for L-functions in the Selberg class

D. J. Smith, H. M. Bui, J. P. Keating

arxiv:1506.03741 v1 · 2015-06-11 · 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{7OF4XKSTPTVERXBTEELOLOCSUQ}

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	2026-05-18T01:11:05.229190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb8bcbaa537cea48dc332116e5b852a4154475e3289dc62abf1d4496019b38f0

Aliases

arxiv: 1506.03741 · arxiv_version: 1506.03741v1 · doi: 10.48550/arxiv.1506.03741 · pith_short_12: 7OF4XKSTPTVE · pith_short_16: 7OF4XKSTPTVERXBT · pith_short_8: 7OF4XKST

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/7OF4XKSTPTVERXBTEELOLOCSUQ \
  | 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: fb8bcbaa537cea48dc332116e5b852a4154475e3289dc62abf1d4496019b38f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c8f02c1704d395ed766924770a92466e9af07ff6e13fca1d65db485f5a36f65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-11T16:50:20Z",
    "title_canon_sha256": "fce5c8cd9174d94da8f54774dd7a20d69799e80677b0600cf5347c8f1dfe2667"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03741",
    "kind": "arxiv",
    "version": 1
  }
}