Pith Number

pith:MXNYRXAR

pith:2024:MXNYRXARG4Q57OH22SYO2TSQRZ

not attested not anchored not stored refs pending

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions

Xinchen Miao

arxiv:2501.04022 v1 · 2024-12-27 · 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{MXNYRXARG4Q57OH22SYO2TSQRZ}

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	2026-07-05T09:58:28.699600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65db88dc113721dfb8fad4b0ed4e508e674e9a75181a8c15d12b3207dd5b715e

Aliases

arxiv: 2501.04022 · arxiv_version: 2501.04022v1 · doi: 10.48550/arxiv.2501.04022 · pith_short_12: MXNYRXARG4Q5 · pith_short_16: MXNYRXARG4Q57OH2 · pith_short_8: MXNYRXAR

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/MXNYRXARG4Q57OH22SYO2TSQRZ \
  | 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: 65db88dc113721dfb8fad4b0ed4e508e674e9a75181a8c15d12b3207dd5b715e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7901d6e527a0840b4c1ac9f16582978bbd5124f37df83b6207878200aafb2729",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-12-27T18:59:24Z",
    "title_canon_sha256": "a8525ae0d9b0a2302ea019b50cc03b3fcf609fc1dbb0cfdc34e259c3d2fc3c40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.04022",
    "kind": "arxiv",
    "version": 1
  }
}