Pith Number

pith:DPNMSDRM

pith:2015:DPNMSDRMNJSRJM5LH7FTVKGCAY

not attested not anchored not stored refs pending

Selberg's orthonormality conjecture and joint universality of L-functions

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

arxiv:1503.03620 v3 · 2015-03-12 · 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{DPNMSDRMNJSRJM5LH7FTVKGCAY}

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	2026-05-18T02:19:18.519132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bdac90e2c6a6514b3ab3fcb3aa8c2061bafda84ab33985e003c2e9b1e5fcb85

Aliases

arxiv: 1503.03620 · arxiv_version: 1503.03620v3 · doi: 10.48550/arxiv.1503.03620 · pith_short_12: DPNMSDRMNJSR · pith_short_16: DPNMSDRMNJSRJM5L · pith_short_8: DPNMSDRM

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/DPNMSDRMNJSRJM5LH7FTVKGCAY \
  | 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: 1bdac90e2c6a6514b3ab3fcb3aa8c2061bafda84ab33985e003c2e9b1e5fcb85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "411b922db04162d65682596498b275ee548aef68ddf9aaa128c089611cbf3fc0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-12T07:57:53Z",
    "title_canon_sha256": "1392be1d8593cf06474ca25e85531c78fb18db0aa544fa05d803b4144ed03c4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03620",
    "kind": "arxiv",
    "version": 3
  }
}