Pith Number

pith:BFZNG6IU

pith:2011:BFZNG6IU5HYYTU5LPRIK62BKM4

not attested not anchored not stored refs pending

Bounds on the Achievable Rate for the Fading Relay Channel with Finite Input Constellations

B. Sundar Rajan, Vijayvaradharaj T Muralidharan

arxiv:1102.4272 v1 · 2011-02-21 · 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{BFZNG6IU5HYYTU5LPRIK62BKM4}

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	2026-05-18T04:28:10.540166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0972d37914e9f189d3ab7c50af682a670f20f7f0252fedce37597b25d8eaacc2

Aliases

arxiv: 1102.4272 · arxiv_version: 1102.4272v1 · doi: 10.48550/arxiv.1102.4272 · pith_short_12: BFZNG6IU5HYY · pith_short_16: BFZNG6IU5HYYTU5L · pith_short_8: BFZNG6IU

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/BFZNG6IU5HYYTU5LPRIK62BKM4 \
  | 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: 0972d37914e9f189d3ab7c50af682a670f20f7f0252fedce37597b25d8eaacc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ca08f2a6322e8fcf5441d1e4c0da22a3b4fa13c69e8f67ac24001ed9ee91ddc",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-02-21T16:27:48Z",
    "title_canon_sha256": "e6c8a0e3e9a21e999f1fe05d15da04a7a901674de54ca6f3e60fcb5764174d4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4272",
    "kind": "arxiv",
    "version": 1
  }
}