Pith Number

pith:TKMZWQQA

pith:2016:TKMZWQQA3S45IRWRJ7TG4NEP7U

not attested not anchored not stored refs pending

On Probabilistic Shaping of Quadrature Amplitude Modulation for the Nonlinear Fiber Channel

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

arxiv:1606.04073 v2 · 2016-06-13 · 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{TKMZWQQA3S45IRWRJ7TG4NEP7U}

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	2026-05-18T01:10:19.749974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a999b4200dcb9d446d14fe66e348ffd1f31567988a169a0d13d48980efb8d55

Aliases

arxiv: 1606.04073 · arxiv_version: 1606.04073v2 · doi: 10.48550/arxiv.1606.04073 · pith_short_12: TKMZWQQA3S45 · pith_short_16: TKMZWQQA3S45IRWR · pith_short_8: TKMZWQQA

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/TKMZWQQA3S45IRWRJ7TG4NEP7U \
  | 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: 9a999b4200dcb9d446d14fe66e348ffd1f31567988a169a0d13d48980efb8d55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c40df9783f0f4efdfab0fbf5bedd3c514dd8a55e565fe65c59bb00fa24524c2",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-06-13T19:14:41Z",
    "title_canon_sha256": "e7194367ed3f5c401e937227e6fd1b5e7f996498db1813c1259f7ea23bcb2cf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04073",
    "kind": "arxiv",
    "version": 2
  }
}