Pith Number

pith:2F3SPOSP

pith:2015:2F3SPOSPXGBEXTFYHQ6OSTLZIF

not attested not anchored not stored refs pending

LDPC Coded Modulation with Probabilistic Shaping for Optical Fiber Systems

Alex Alvarado, Georg B\"ocherer, Norbert Hanik, Tobias Fehenberger

arxiv:1501.01742 v1 · 2015-01-08 · 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{2F3SPOSPXGBEXTFYHQ6OSTLZIF}

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	2026-05-18T01:35:16.288841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d17727ba4fb9824bccb83c3ce94d79417d673153188cdd4449653f37bddf1f90

Aliases

arxiv: 1501.01742 · arxiv_version: 1501.01742v1 · doi: 10.48550/arxiv.1501.01742 · pith_short_12: 2F3SPOSPXGBE · pith_short_16: 2F3SPOSPXGBEXTFY · pith_short_8: 2F3SPOSP

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/2F3SPOSPXGBEXTFYHQ6OSTLZIF \
  | 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: d17727ba4fb9824bccb83c3ce94d79417d673153188cdd4449653f37bddf1f90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9ded2f76b53df9e93bc5cac4ce344c4ce688ce319e5ac3e6572f56ae39a6331",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-01-08T06:33:48Z",
    "title_canon_sha256": "18835920ea3682611669f60e89c52ea73c66ed60392ebf2258b3097a9716ebc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01742",
    "kind": "arxiv",
    "version": 1
  }
}