Pith Number

pith:4CDIJBGB

pith:2017:4CDIJBGBMNFZBCQO73K3NSUIQB

not attested not anchored not stored refs pending

$t$-aspect subconvexity for $GL(2)$ $L$-functions

Keshav Aggarwal

arxiv:1707.07027 v2 · 2017-07-21 · 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{4CDIJBGBMNFZBCQO73K3NSUIQB}

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	2026-05-18T00:33:43.330680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0868484c1634b908a0efed5b6ca888078bb1a0406b126ecd0ebec0c9f808b04

Aliases

arxiv: 1707.07027 · arxiv_version: 1707.07027v2 · doi: 10.48550/arxiv.1707.07027 · pith_short_12: 4CDIJBGBMNFZ · pith_short_16: 4CDIJBGBMNFZBCQO · pith_short_8: 4CDIJBGB

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/4CDIJBGBMNFZBCQO73K3NSUIQB \
  | 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: e0868484c1634b908a0efed5b6ca888078bb1a0406b126ecd0ebec0c9f808b04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60a9be7983d11f4485dc52753485a5b3ae8eaec93b6315fff2f852b53f256ccd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-21T19:29:11Z",
    "title_canon_sha256": "d18fce8ef57f32fdbf03d96f9b69dc23d63e2ff567263546467fec2ec29d0599"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07027",
    "kind": "arxiv",
    "version": 2
  }
}