Pith Number

pith:L6QAQYP4

pith:2015:L6QAQYP4YP6N7QGZUHU62GPJF7

not attested not anchored not stored refs pending

Subconvexity for a double Dirichlet series and non-vanishing of $L$-functions

Alexander Dahl

arxiv:1511.00071 v4 · 2015-10-31 · 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{L6QAQYP4YP6N7QGZUHU62GPJF7}

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	2026-05-18T01:12:25.168479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fa00861fcc3fcdfc0d9a1e9ed19e92fcd33a74e52a07e4544583bda0bc4f6ab

Aliases

arxiv: 1511.00071 · arxiv_version: 1511.00071v4 · doi: 10.48550/arxiv.1511.00071 · pith_short_12: L6QAQYP4YP6N · pith_short_16: L6QAQYP4YP6N7QGZ · pith_short_8: L6QAQYP4

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/L6QAQYP4YP6N7QGZUHU62GPJF7 \
  | 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: 5fa00861fcc3fcdfc0d9a1e9ed19e92fcd33a74e52a07e4544583bda0bc4f6ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04c34c715e79c92c75b763de2da1420dbdc407eaf5137a2d86a04281d3bfb350",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-31T04:03:39Z",
    "title_canon_sha256": "4a82f12269567d944a06e570ff279e656c77326a3d7d4c1a339cfa3580ed0c68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00071",
    "kind": "arxiv",
    "version": 4
  }
}