Pith Number

pith:GGO3XMY2

pith:2016:GGO3XMY22UKC7HNC5TYKZ4SCFG

not attested not anchored not stored refs pending

Mean value results and $\Omega$-results for the hyperbolic lattice point problem in conjugacy classes

Dimitrios Chatzakos

arxiv:1610.01462 v4 · 2016-10-05 · 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{GGO3XMY22UKC7HNC5TYKZ4SCFG}

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	2026-05-18T00:23:01.622945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

319dbbb31ad5142f9da2ecf0acf24229a5d3c5f5cbf8da58eb8bedeba297a76b

Aliases

arxiv: 1610.01462 · arxiv_version: 1610.01462v4 · doi: 10.48550/arxiv.1610.01462 · pith_short_12: GGO3XMY22UKC · pith_short_16: GGO3XMY22UKC7HNC · pith_short_8: GGO3XMY2

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/GGO3XMY22UKC7HNC5TYKZ4SCFG \
  | 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: 319dbbb31ad5142f9da2ecf0acf24229a5d3c5f5cbf8da58eb8bedeba297a76b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02248176dcaeaf7de152679dceea3101a0f0ba7e8ac0e4b4cdf6de8ba1498e05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-05T14:56:16Z",
    "title_canon_sha256": "ea7e66dd9a61f31d444bfc597e919a2c6ee54d5ec68215837f898dbca2740cf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01462",
    "kind": "arxiv",
    "version": 4
  }
}