Pith Number

pith:S5EXGQSS

pith:2017:S5EXGQSSANH7VJKPSMEZVVQGKY

not attested not anchored not stored refs pending

A Spectral reciprocity formula and non-vanishing for L-functions on GL(4)xGL(2)

Stephen D. Miller, Valentin Blomer, Xiaoqing Li

arxiv:1705.04344 v2 · 2017-05-11 · 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{S5EXGQSSANH7VJKPSMEZVVQGKY}

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	2026-05-17T23:52:34.310447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9749734252034ffaa54f93099ad60656078e2a2d24dd41e4822a189df56ff8a9

Aliases

arxiv: 1705.04344 · arxiv_version: 1705.04344v2 · doi: 10.48550/arxiv.1705.04344 · pith_short_12: S5EXGQSSANH7 · pith_short_16: S5EXGQSSANH7VJKP · pith_short_8: S5EXGQSS

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/S5EXGQSSANH7VJKPSMEZVVQGKY \
  | 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: 9749734252034ffaa54f93099ad60656078e2a2d24dd41e4822a189df56ff8a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01223f06b847fe84c58160f46b107cae9ee68e7a737d4c8019596d12110f8fef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-05-11T18:23:30Z",
    "title_canon_sha256": "ae124b78890de412be99a905c9d9444fc4c0219f358751c0195dd58590e484b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04344",
    "kind": "arxiv",
    "version": 2
  }
}