Pith Number

pith:W27GHCLA

pith:2019:W27GHCLAYJ7NFF37QY72XRTUGJ

not attested not anchored not stored refs pending

Linnik's large sieve and the $L^{1}$ norm of exponential sums

Andrew Ledoan, Brian Tobin, Emily Eckels, Steven Jin

arxiv:1908.06946 v1 · 2019-08-19 · 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{W27GHCLAYJ7NFF37QY72XRTUGJ}

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	2026-07-04T23:58:21.454959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6be638960c27ed2977f863fabc674327e3b3697da5fa6c30a59c8b07ebcb90b

Aliases

arxiv: 1908.06946 · arxiv_version: 1908.06946v1 · doi: 10.48550/arxiv.1908.06946 · pith_short_12: W27GHCLAYJ7N · pith_short_16: W27GHCLAYJ7NFF37 · pith_short_8: W27GHCLA

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/W27GHCLAYJ7NFF37QY72XRTUGJ \
  | 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: b6be638960c27ed2977f863fabc674327e3b3697da5fa6c30a59c8b07ebcb90b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b44d0912d17678e162977dc064149a761592c98b4f5d753fba3b2d8153afd6d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-19T17:32:18Z",
    "title_canon_sha256": "6b6a69b2c0ce92805a8fcc0c329dc3c0c0be4261cf32ad3d9da36e87fc61198d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06946",
    "kind": "arxiv",
    "version": 1
  }
}