Pith Number

pith:Q43F7SEY

pith:2018:Q43F7SEY64MOO4YAAEJG7K42IV

not attested not anchored not stored refs pending

Approaching Waterfilling Capacity of Parallel Channels by Higher Order Modulation and Probabilistic Amplitude Shaping

Fabian Steiner, Georg B\"ocherer, Patrick Schulte

arxiv:1804.01922 v1 · 2018-04-05 · 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{Q43F7SEY64MOO4YAAEJG7K42IV}

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	2026-05-18T00:19:09.553826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87365fc898f718e7730001126fab9a4571dd36fa038ee9e96ad2db04c4946019

Aliases

arxiv: 1804.01922 · arxiv_version: 1804.01922v1 · doi: 10.48550/arxiv.1804.01922 · pith_short_12: Q43F7SEY64MO · pith_short_16: Q43F7SEY64MOO4YA · pith_short_8: Q43F7SEY

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/Q43F7SEY64MOO4YAAEJG7K42IV \
  | 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: 87365fc898f718e7730001126fab9a4571dd36fa038ee9e96ad2db04c4946019

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b43ea38e2b0adfe905d6d81803ea222e84df04d878e2f9c18d56c46e4d841ddb",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-04-05T15:53:34Z",
    "title_canon_sha256": "94a87bc1d8224e5af377b977dc670453f50b0674f7f4e262e3742afa398b3c63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.01922",
    "kind": "arxiv",
    "version": 1
  }
}