Pith Number

pith:T5KA6WIL

pith:2011:T5KA6WILCOZUBCBK3V7EWB4WI6

not attested not anchored not stored refs pending

The Gaussian Interference Relay Channel: Improved Achievable Rates and Sum Rate Upperbounds Using a Potent Relay

Aylin Yener, Ye Tian

arxiv:1102.0043 v1 · 2011-01-31 · 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{T5KA6WILCOZUBCBK3V7EWB4WI6}

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	2026-05-18T02:22:41.534841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f540f590b13b340882add7e4b0796479105986af7bb900e97c9babd4b9b4143

Aliases

arxiv: 1102.0043 · arxiv_version: 1102.0043v1 · doi: 10.48550/arxiv.1102.0043 · pith_short_12: T5KA6WILCOZU · pith_short_16: T5KA6WILCOZUBCBK · pith_short_8: T5KA6WIL

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/T5KA6WILCOZUBCBK3V7EWB4WI6 \
  | 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: 9f540f590b13b340882add7e4b0796479105986af7bb900e97c9babd4b9b4143

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ebd37ef7953d1e7c2da9ba0d38d2289d4a0ccdb282d7f7485e29bb0357fb76f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-01-31T23:59:54Z",
    "title_canon_sha256": "1406713d3301c453ae7c797952b608e32e36a98b3c53d35b39376c56d7d4b74c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0043",
    "kind": "arxiv",
    "version": 1
  }
}