Pith Number

pith:4HCRXJW3

pith:2016:4HCRXJW344N3VDQXNTKPV6OOD6

not attested not anchored not stored refs pending

On the reciprocity law for the twisted second moment of Dirichlet $L$-functions

Sandro Bettin

arxiv:1607.05595 v1 · 2016-07-19 · 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{4HCRXJW344N3VDQXNTKPV6OOD6}

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	2026-05-18T01:10:46.475672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1c51ba6dbe71bba8e176cd4faf9ce1f989301fc3865d0913128d21b5f90c3a2

Aliases

arxiv: 1607.05595 · arxiv_version: 1607.05595v1 · doi: 10.48550/arxiv.1607.05595 · pith_short_12: 4HCRXJW344N3 · pith_short_16: 4HCRXJW344N3VDQX · pith_short_8: 4HCRXJW3

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/4HCRXJW344N3VDQXNTKPV6OOD6 \
  | 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: e1c51ba6dbe71bba8e176cd4faf9ce1f989301fc3865d0913128d21b5f90c3a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5c6fb6faed12f88793e2914232f206a5133d40e0376d062bd58d2f374a6a876",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-07-19T14:20:12Z",
    "title_canon_sha256": "a580eedba988600a5759a0eba3c0492002069f98957b8d6b860e80fc23ca99cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05595",
    "kind": "arxiv",
    "version": 1
  }
}