Pith Number

pith:GSN5WVBK

pith:2015:GSN5WVBKLRAKFT5ZKE2DCSSYUV

not attested not anchored not stored refs pending

Finite-SNR Bounds on the Sum-Rate Capacity of Rayleigh Block-Fading Multiple-Access Channels with no a Priori CSI

Giuseppe Durisi, Johan \"Ostman, Rahul Devassy, Tome Eftimov, Wei Yang, Zoran Utkovski

arxiv:1501.01957 v3 · 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{GSN5WVBKLRAKFT5ZKE2DCSSYUV}

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	2026-05-18T00:58:11.110429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

349bdb542a5c40a2cfb95134314a58a561db4bfa3bf2c9f5977d580daee94b7f

Aliases

arxiv: 1501.01957 · arxiv_version: 1501.01957v3 · doi: 10.48550/arxiv.1501.01957 · pith_short_12: GSN5WVBKLRAK · pith_short_16: GSN5WVBKLRAKFT5Z · pith_short_8: GSN5WVBK

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/GSN5WVBKLRAKFT5ZKE2DCSSYUV \
  | 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: 349bdb542a5c40a2cfb95134314a58a561db4bfa3bf2c9f5977d580daee94b7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d352771b960f6c07b58ff604bba6b52f4a99574c717ed4f5d4b1d0109f8dfd2b",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-01-08T20:59:48Z",
    "title_canon_sha256": "3b77850421c2df46447519cc4c823b7a53aac509efc0b5bfb89bca82a8ff9e3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01957",
    "kind": "arxiv",
    "version": 3
  }
}