Pith Number

pith:R6Y6YOW5

pith:2009:R6Y6YOW5E5EDXOIJB5B5LCB7TL

not attested not anchored not stored refs pending

Capacity Regions and Sum-Rate Capacities of Vector Gaussian Interference Channels

Biao Chen, Gerhard Kramer, H. Vincent Poor, Xiaohu Shang

arxiv:0907.0472 v1 · 2009-07-02 · 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{R6Y6YOW5E5EDXOIJB5B5LCB7TL}

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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	2026-05-18T00:58:20.082105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fb1ec3add27483bb9090f43d5883f9af24da7014088b0ecea66f4236ba1db84

Aliases

arxiv: 0907.0472 · arxiv_version: 0907.0472v1 · doi: 10.48550/arxiv.0907.0472 · pith_short_12: R6Y6YOW5E5ED · pith_short_16: R6Y6YOW5E5EDXOIJ · pith_short_8: R6Y6YOW5

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/R6Y6YOW5E5EDXOIJB5B5LCB7TL \
  | 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: 8fb1ec3add27483bb9090f43d5883f9af24da7014088b0ecea66f4236ba1db84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8794f0800fb3163493e9f715fb8f0398109bc53bdd9126ca4ab91bc3d14c9f73",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2009-07-02T23:50:15Z",
    "title_canon_sha256": "1b1c14d7a7a746eb451b86f40cfa7cc75113a85f55db6e1b42af5012b518efc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0472",
    "kind": "arxiv",
    "version": 1
  }
}