Pith Number

pith:M4KZ6T7I

pith:2005:M4KZ6T7IRDABWQ2HF663NUF5OG

not attested not anchored not stored refs pending

The Noncoherent Rician Fading Channel -- Part I : Structure of the Capacity-Achieving Input

H. Vincent Poor, Mustafa Cenk Gursoy, Sergio Verdu

arxiv:cs/0501066 v1 · 2005-01-24 · 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{M4KZ6T7IRDABWQ2HF663NUF5OG}

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	2026-05-18T00:58:26.917913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67159f4fe888c01b43472fbdb6d0bd719894f23f99d1a919dcd433384bd01687

Aliases

arxiv: cs/0501066 · arxiv_version: cs/0501066v1 · doi: 10.48550/arxiv.cs/0501066 · pith_short_12: M4KZ6T7IRDAB · pith_short_16: M4KZ6T7IRDABWQ2H · pith_short_8: M4KZ6T7I

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/M4KZ6T7IRDABWQ2HF663NUF5OG \
  | 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: 67159f4fe888c01b43472fbdb6d0bd719894f23f99d1a919dcd433384bd01687

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b8907dc92739678da46f81e565405236315353ee237fe58e967c7ad5afa845b",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "",
    "primary_cat": "cs.IT",
    "submitted_at": "2005-01-24T07:26:49Z",
    "title_canon_sha256": "f008b663e5b7673f14e297db90997b1df03c6fab0a3ec697246ee7f17af17c5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0501066",
    "kind": "arxiv",
    "version": 1
  }
}