Pith Number

pith:TX3AEO5V

pith:2018:TX3AEO5V4YCUAMWZIIZG3R5JMA

not attested not anchored not stored refs pending

Subconvexity for $GL(3)\times GL(2)$ $L$-functions in $t$-aspect

Ritabrata Munshi

arxiv:1810.00539 v1 · 2018-10-01 · 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{TX3AEO5V4YCUAMWZIIZG3R5JMA}

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

1 paper in Pith

A connection between low-lying zeros and central values of $L$-functions

Receipt and verification

First computed	2026-05-18T00:04:25.871426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9df6023bb5e6054032d942326dc7a9600c2e9e2279bdebee2b355cf8508fd629

Aliases

arxiv: 1810.00539 · arxiv_version: 1810.00539v1 · doi: 10.48550/arxiv.1810.00539 · pith_short_12: TX3AEO5V4YCU · pith_short_16: TX3AEO5V4YCUAMWZ · pith_short_8: TX3AEO5V

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/TX3AEO5V4YCUAMWZIIZG3R5JMA \
  | 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: 9df6023bb5e6054032d942326dc7a9600c2e9e2279bdebee2b355cf8508fd629

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32562604bde05046cb851caf23f9611b73d4f8c4c0e9bca99d2886f7790eca85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-10-01T06:01:12Z",
    "title_canon_sha256": "89634793c98308f42410a138779d3c070b44dac8e07c698831cc27ebb3d33588"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.00539",
    "kind": "arxiv",
    "version": 1
  }
}