Pith Number

pith:WC3W4YYC

pith:2018:WC3W4YYCPDSIB2BUAQTYH6KE3W

not attested not anchored not stored refs pending

Second Moment of the Prime Geodesic Theorem for $\mathrm{PSL}(2, \mathbb{Z}[i])$

Dimitrios Chatzakos, Giacomo Cherubini, Niko Laaksonen

arxiv:1812.11916 v1 · 2018-12-31 · 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{WC3W4YYCPDSIB2BUAQTYH6KE3W}

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	2026-05-17T23:57:10.781935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0b76e630278e480e834042783f944ddb69e0a923fa10e6d84c25944f9f8573a

Aliases

arxiv: 1812.11916 · arxiv_version: 1812.11916v1 · doi: 10.48550/arxiv.1812.11916 · pith_short_12: WC3W4YYCPDSI · pith_short_16: WC3W4YYCPDSIB2BU · pith_short_8: WC3W4YYC

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/WC3W4YYCPDSIB2BUAQTYH6KE3W \
  | 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: b0b76e630278e480e834042783f944ddb69e0a923fa10e6d84c25944f9f8573a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd964f12f4a07931b0a49d4544f61a32c5d2e4a21519531064b7b1791971caf9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-12-31T17:47:15Z",
    "title_canon_sha256": "224da7ced2434a7089212ab805361341e23f00c2019b8e85e73f50b1e13659ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11916",
    "kind": "arxiv",
    "version": 1
  }
}