Pith Number

pith:XO3PW2UH

pith:2014:XO3PW2UHIWAOEA4TKZEPBOMURN

not attested not anchored not stored refs pending

The subconvexity bound for triple product L-function in level aspect

Yueke Hu

arxiv:1404.1636 v1 · 2014-04-06 · 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{XO3PW2UHIWAOEA4TKZEPBOMURN}

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	2026-05-18T02:54:45.872671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbb6fb6a874580e203935648f0b9948b4afa64894a1e1a19ab3fd4b1835910aa

Aliases

arxiv: 1404.1636 · arxiv_version: 1404.1636v1 · doi: 10.48550/arxiv.1404.1636 · pith_short_12: XO3PW2UHIWAO · pith_short_16: XO3PW2UHIWAOEA4T · pith_short_8: XO3PW2UH

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/XO3PW2UHIWAOEA4TKZEPBOMURN \
  | 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: bbb6fb6a874580e203935648f0b9948b4afa64894a1e1a19ab3fd4b1835910aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da64c11563d6a1c6dc2ebb1db8cedfd8917e01b837701d4a68a1a11841b594c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-04-06T23:44:22Z",
    "title_canon_sha256": "0a03a779635ef748bc4d06e32f5e9357c3c951f63a033f2faace170971141d58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1636",
    "kind": "arxiv",
    "version": 1
  }
}