Pith Number

pith:54BGWOBS

pith:2015:54BGWOBSO5BC5MVFMKVQMNPBOK

not attested not anchored not stored refs pending

Value distribution for the derivatives of the logarithm of $L$-functions from the Selberg class in the half-plane of absolute convergence

{\L}ukasz Pa\'nkowski, Takashi Nakamura

arxiv:1501.02045 v5 · 2015-01-09 · 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{54BGWOBSO5BC5MVFMKVQMNPBOK}

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	2026-05-18T01:36:01.686331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef026b383277422eb2a562ab0635e172b2174fec7ef8ed5ae454a1fca5a5cc81

Aliases

arxiv: 1501.02045 · arxiv_version: 1501.02045v5 · doi: 10.48550/arxiv.1501.02045 · pith_short_12: 54BGWOBSO5BC · pith_short_16: 54BGWOBSO5BC5MVF · pith_short_8: 54BGWOBS

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/54BGWOBSO5BC5MVFMKVQMNPBOK \
  | 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: ef026b383277422eb2a562ab0635e172b2174fec7ef8ed5ae454a1fca5a5cc81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8127b2cfc1d9d4d98868fe33687cd45a7d32d12fd0afc1a082cd54792675898",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-01-09T05:34:32Z",
    "title_canon_sha256": "7f2397f47a359c64baef38e14661a3bd9471fc4115884ff0c67a4887e20163d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02045",
    "kind": "arxiv",
    "version": 5
  }
}