Pith Number

pith:MCHOPUC2

pith:2019:MCHOPUC2S3PYFTORGFTR5E6GCB

not attested not anchored not stored refs pending

A Bessel delta-method and exponential sums for GL(2)

Keshav Aggarwal, Roman Holowinsky, Yongxiao Lin, Zhi Qi

arxiv:1906.05485 v4 · 2019-06-13 · 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{MCHOPUC2S3PYFTORGFTR5E6GCB}

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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.

Cited by

1 paper in Pith

Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields

Receipt and verification

First computed	2026-07-05T01:02:27.215930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

608ee7d05a96df82cdd131671e93c610414816bb41452e3c8bb2c8b1555e1263

Aliases

arxiv: 1906.05485 · arxiv_version: 1906.05485v4 · doi: 10.48550/arxiv.1906.05485 · pith_short_12: MCHOPUC2S3PY · pith_short_16: MCHOPUC2S3PYFTOR · pith_short_8: MCHOPUC2

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/MCHOPUC2S3PYFTORGFTR5E6GCB \
  | 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: 608ee7d05a96df82cdd131671e93c610414816bb41452e3c8bb2c8b1555e1263

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "957950f8a6fd2e611b03e48209c889974d8f3432b1c0c1bd7a3ac7045bb7a7a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-13T05:24:36Z",
    "title_canon_sha256": "359033dc134cb087e854ef5328cd3836268acba67fe06b0cfb35c637f1217566"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.05485",
    "kind": "arxiv",
    "version": 4
  }
}