Pith Number

pith:V6YXSE76

pith:2018:V6YXSE763ANDKFVLZHF2GGLZEJ

not attested not anchored not stored refs pending

Sub-Weyl bounds for $GL(2)$ $L$-functions

Ritabrata Munshi

arxiv:1806.07352 v2 · 2018-06-19 · 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{V6YXSE763ANDKFVLZHF2GGLZEJ}

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	2026-05-18T00:06:11.274572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afb17913fed81a3516abc9cba319792272d50eca78820566463d4483e6233660

Aliases

arxiv: 1806.07352 · arxiv_version: 1806.07352v2 · doi: 10.48550/arxiv.1806.07352 · pith_short_12: V6YXSE763AND · pith_short_16: V6YXSE763ANDKFVL · pith_short_8: V6YXSE76

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/V6YXSE763ANDKFVLZHF2GGLZEJ \
  | 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: afb17913fed81a3516abc9cba319792272d50eca78820566463d4483e6233660

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2c0fffab7504d89ff5be317de4393755892a8d2367a52e19c926ad8e53cb0c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-06-19T17:22:11Z",
    "title_canon_sha256": "098defcdcf31899cfa5d85f6628a002ce87651fbe19c2e196382de25615028a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.07352",
    "kind": "arxiv",
    "version": 2
  }
}