Pith Number

pith:JIUNCJ5D

pith:2016:JIUNCJ5DICFGVY5XPBG66RPZI2

not attested not anchored not stored refs pending

Hybrid Level Aspect Subconvexity for $GL(2)\times GL(1)$ Rankin-Selberg $L$-Functions

Keshav Aggarwal, Kevin Nowland, Yeongseong Jo

arxiv:1605.05625 v4 · 2016-05-18 · 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{JIUNCJ5DICFGVY5XPBG66RPZI2}

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	2026-05-18T00:22:06.739529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a28d127a3408a6ae3b7784def45f9468e2e0e12213593bd66c4b8fd40108de0

Aliases

arxiv: 1605.05625 · arxiv_version: 1605.05625v4 · doi: 10.48550/arxiv.1605.05625 · pith_short_12: JIUNCJ5DICFG · pith_short_16: JIUNCJ5DICFGVY5X · pith_short_8: JIUNCJ5D

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/JIUNCJ5DICFGVY5XPBG66RPZI2 \
  | 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: 4a28d127a3408a6ae3b7784def45f9468e2e0e12213593bd66c4b8fd40108de0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6e9973369ef58038df79a5be51a49bef62d79c19e7db527468ec176ddb3a385",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-05-18T15:41:37Z",
    "title_canon_sha256": "1191d5958db5150efd6923ede0c26a90512eb5f3be086eff1fb4f37597e076f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05625",
    "kind": "arxiv",
    "version": 4
  }
}