Pith Number

pith:VOSJJRI7

pith:2015:VOSJJRI7CYLJW3DYMVKFCQV57D

not attested not anchored not stored refs pending

Upper Bound on the Capacity of a Cascade of Nonlinear and Noisy Channels

Frank R. Kschischang, Gerhard Kramer, Mansoor I. Yousefi

arxiv:1503.07652 v3 · 2015-03-26 · 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{VOSJJRI7CYLJW3DYMVKFCQV57D}

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	2026-05-18T02:18:03.395059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aba494c51f16169b6c7865545142bdf8e8a2537baf12c44d6e602a4a5b803a36

Aliases

arxiv: 1503.07652 · arxiv_version: 1503.07652v3 · doi: 10.48550/arxiv.1503.07652 · pith_short_12: VOSJJRI7CYLJ · pith_short_16: VOSJJRI7CYLJW3DY · pith_short_8: VOSJJRI7

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/VOSJJRI7CYLJW3DYMVKFCQV57D \
  | 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: aba494c51f16169b6c7865545142bdf8e8a2537baf12c44d6e602a4a5b803a36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "639af5eeeec7e6c56bde2c76f6a9d7603542e1d5bc0f8af201ff3143d3d0fe0e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-03-26T09:08:22Z",
    "title_canon_sha256": "f0f98e97c32ef238d53c45e698e45b88dd75366e48e289dc6fd2b3c8e4953b1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07652",
    "kind": "arxiv",
    "version": 3
  }
}