Pith Number

pith:CZLKLCGJ

pith:2017:CZLKLCGJ7LDPCPGVYOV5JMXU44

not attested not anchored not stored refs pending

L-functions and sharp resonances of infinite index congruence subgroups of $SL_2(\mathbb{Z})$

Dmitry Jakobson, Frederic Naud

arxiv:1704.08546 v1 · 2017-04-27 · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CZLKLCGJ7LDPCPGVYOV5JMXU44}

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	2026-05-18T00:45:27.412054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1656a588c9fac6f13cd5c3abd4b2f4e71596a138751659594056dbf111d26ad0

Aliases

arxiv: 1704.08546 · arxiv_version: 1704.08546v1 · doi: 10.48550/arxiv.1704.08546 · pith_short_12: CZLKLCGJ7LDP · pith_short_16: CZLKLCGJ7LDPCPGV · pith_short_8: CZLKLCGJ

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/CZLKLCGJ7LDPCPGVYOV5JMXU44 \
  | 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: 1656a588c9fac6f13cd5c3abd4b2f4e71596a138751659594056dbf111d26ad0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "916d1edcad5b62346ec706ced2d2263f43a10f4b1458f433132624dd45363d66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-04-27T13:04:00Z",
    "title_canon_sha256": "b0a5402d22e34c9a9885eae36287bf812a569ea4f09408cf13fbd09e7a36a144"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.08546",
    "kind": "arxiv",
    "version": 1
  }
}