Pith Number

pith:LRQOBU7T

pith:2007:LRQOBU7T63G4VFF3ASSORCPJCJ

not attested not anchored not stored refs pending

A New Outer Bound and the Noisy-Interference Sum-Rate Capacity for Gaussian Interference Channels

Biao Chen, Gerhard Kramer, Xiaohu Shang

arxiv:0712.1987 v2 · 2007-12-12 · 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{LRQOBU7T63G4VFF3ASSORCPJCJ}

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	2026-05-18T00:57:58.771105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c60e0d3f3f6cdca94bb04a4e889e91278407ad1fb481f37dff4d5dda994f963

Aliases

arxiv: 0712.1987 · arxiv_version: 0712.1987v2 · doi: 10.48550/arxiv.0712.1987 · pith_short_12: LRQOBU7T63G4 · pith_short_16: LRQOBU7T63G4VFF3 · pith_short_8: LRQOBU7T

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/LRQOBU7T63G4VFF3ASSORCPJCJ \
  | 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: 5c60e0d3f3f6cdca94bb04a4e889e91278407ad1fb481f37dff4d5dda994f963

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00eee406bd99e78753542d8262842c23e282bf8978b32db7643c02034521dbe5",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "",
    "primary_cat": "cs.IT",
    "submitted_at": "2007-12-12T17:34:43Z",
    "title_canon_sha256": "dcd39e7f19c0a0218b68d9ead9e1ff4344057ee66ad04e3e090f428a5df780b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.1987",
    "kind": "arxiv",
    "version": 2
  }
}