Pith Number

pith:YLQ5QXBO

pith:2013:YLQ5QXBO2Q2BO22TAQB3C73JZB

not attested not anchored not stored refs pending

Hybrid Bounds on Twisted L-Functions Associated to Modular Forms

Chan Ieong Kuan

arxiv:1311.1826 v3 · 2013-11-07 · 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{YLQ5QXBO2Q2BO22TAQB3C73JZB}

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	2026-05-18T01:03:53.649086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2e1d85c2ed434176b530403b17f69c85d5a39e6a1346a747f2ccef64c28a7d8

Aliases

arxiv: 1311.1826 · arxiv_version: 1311.1826v3 · doi: 10.48550/arxiv.1311.1826 · pith_short_12: YLQ5QXBO2Q2B · pith_short_16: YLQ5QXBO2Q2BO22T · pith_short_8: YLQ5QXBO

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/YLQ5QXBO2Q2BO22TAQB3C73JZB \
  | 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: c2e1d85c2ed434176b530403b17f69c85d5a39e6a1346a747f2ccef64c28a7d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10a43e136e43c2ded15575a4a6b0c84306f74cbb037c43d47cc1f7ee687586be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-07T21:03:02Z",
    "title_canon_sha256": "a0b5fb660ae0c11bf15046999dff9f48e038da6db0ac54091095af5783314a74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1826",
    "kind": "arxiv",
    "version": 3
  }
}