Pith Number

pith:IGWFZH22

pith:2023:IGWFZH22UR6ZZ63OPDC4SVBPKR

not attested not anchored not stored refs pending

Relative Trace Formula and Twisted $L$-functions: the Burgess Bound

Liyang Yang

arxiv:2305.10719 v1 · 2023-05-18 · 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{IGWFZH22UR6ZZ63OPDC4SVBPKR}

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.

Cited by

2 papers in Pith

Rankin--Selberg Subconvexity via Spectral Reciprocity

Counting number fields using multiple Dirichlet series

Receipt and verification

First computed	2026-07-05T06:11:25.890825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41ac5c9f5aa47d9cfb6e78c5c9542f5453c86f713127f235f528b9510f8353b4

Aliases

arxiv: 2305.10719 · arxiv_version: 2305.10719v1 · doi: 10.48550/arxiv.2305.10719 · pith_short_12: IGWFZH22UR6Z · pith_short_16: IGWFZH22UR6ZZ63O · pith_short_8: IGWFZH22

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/IGWFZH22UR6ZZ63OPDC4SVBPKR \
  | 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: 41ac5c9f5aa47d9cfb6e78c5c9542f5453c86f713127f235f528b9510f8353b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd28a83d6dcfe11937ad6230385a1bc67b7e094f798d92eea879e3d66d752451",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-05-18T05:32:19Z",
    "title_canon_sha256": "b50505dd7bb1aa61e61fb5fc73f5e5cac5eb0e83205626f7255f5a4950a9bb34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.10719",
    "kind": "arxiv",
    "version": 1
  }
}