Pith Number

pith:R52L3NZK

pith:2016:R52L3NZKYG53EKDLP4EPD3NBNL

not attested not anchored not stored refs pending

Close-Form Expression of One-Tap Normalized LMS Carrier Phase Recovery in Optical Communication Systems

Gunnar Jacobsen, Jie Li, Sergei Popov, Tianhua Xu, Tiegen Liu, Yimo Zhang

arxiv:1602.06850 v3 · 2016-02-22 · physics.optics · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R52L3NZKYG53EKDLP4EPD3NBNL}

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	2026-05-18T00:51:51.787179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f74bdb72ac1bbb2286b7f08f1eda16ac49916542bec0f250a7f6934a2a1b715

Aliases

arxiv: 1602.06850 · arxiv_version: 1602.06850v3 · doi: 10.48550/arxiv.1602.06850 · pith_short_12: R52L3NZKYG53 · pith_short_16: R52L3NZKYG53EKDL · pith_short_8: R52L3NZK

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/R52L3NZKYG53EKDLP4EPD3NBNL \
  | 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: 8f74bdb72ac1bbb2286b7f08f1eda16ac49916542bec0f250a7f6934a2a1b715

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7645410d3913ff1f98bd3c5c3d5c0c71319fe078f2b3d5831a3f061fadd4cca",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-02-22T16:49:44Z",
    "title_canon_sha256": "df231217243d413577c37ab397f56f0dffd46bce1fbd9dfc30a76aadfe8c5119"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06850",
    "kind": "arxiv",
    "version": 3
  }
}