Pith Number

pith:OPHUU2Q7

pith:2017:OPHUU2Q74ZBPMMTRLIMCU3IE6Y

not attested not anchored not stored refs pending

t-Aspect Subconvexity Bound for $GL(2)$ L-functions

Keshav Aggarwal, Saurabh Kumar Singh

arxiv:1706.04977 v2 · 2017-06-15 · 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{OPHUU2Q74ZBPMMTRLIMCU3IE6Y}

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	2026-05-18T00:18:05.328004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73cf4a6a1fe642f632715a182a6d04f6316d6e8bc21627311c4f6d9f1c8af061

Aliases

arxiv: 1706.04977 · arxiv_version: 1706.04977v2 · doi: 10.48550/arxiv.1706.04977 · pith_short_12: OPHUU2Q74ZBP · pith_short_16: OPHUU2Q74ZBPMMTR · pith_short_8: OPHUU2Q7

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/OPHUU2Q74ZBPMMTRLIMCU3IE6Y \
  | 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: 73cf4a6a1fe642f632715a182a6d04f6316d6e8bc21627311c4f6d9f1c8af061

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c89cd42fa65e3b043337ff669321c5f7fb53f78c8da6ea6dce41e84934e5014",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-15T17:27:10Z",
    "title_canon_sha256": "a0e78ba1b5520877295d8c70ff9026ad3ca862a7adf64f5ed224c8fe8f4ed5cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04977",
    "kind": "arxiv",
    "version": 2
  }
}