Pith Number

pith:T7NEXMI7

pith:2025:T7NEXMI7Z4JFGEWNSM3PKKEKMN

not attested not anchored not stored refs pending

Moments of Higher derivatives of the logarithmic derivative of Dirichlet $L$-functions

Samprit Ghosh

arxiv:2509.06390 v1 · 2025-09-08 · 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{T7NEXMI7Z4JFGEWNSM3PKKEKMN}

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	2026-07-05T12:06:34.902905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fda4bb11fcf125312cd9336f5288a6343eb8e8b614cb3c1e6ef5dad2570fff7

Aliases

arxiv: 2509.06390 · arxiv_version: 2509.06390v1 · doi: 10.48550/arxiv.2509.06390 · pith_short_12: T7NEXMI7Z4JF · pith_short_16: T7NEXMI7Z4JFGEWN · pith_short_8: T7NEXMI7

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/T7NEXMI7Z4JFGEWNSM3PKKEKMN \
  | 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: 9fda4bb11fcf125312cd9336f5288a6343eb8e8b614cb3c1e6ef5dad2570fff7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4764dc9597c7def56d3915aa0ba010e29a475655fe169a33ff000980fb649b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-09-08T07:21:02Z",
    "title_canon_sha256": "bff0b342b4b3e4c0d774bb6c4c13ab700ac4659c932ab43f94081ea6bd3906f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.06390",
    "kind": "arxiv",
    "version": 1
  }
}