Pith Number

pith:Q66DJVO4

pith:2012:Q66DJVO47KII3YW26GJZFGCRD5

not attested not anchored not stored refs pending

Achieving Global Optimality for Weighted Sum-Rate Maximization in the K-User Gaussian Interference Channel with Multiple Antennas

Kee-Chaing Chua, Liang Liu, Rui Zhang

arxiv:1202.2231 v1 · 2012-02-10 · 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{Q66DJVO47KII3YW26GJZFGCRD5}

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	2026-05-18T00:58:18.490788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87bc34d5dcfa908de2daf1939298511f6b811824d5e19cfe9d7825b68636f957

Aliases

arxiv: 1202.2231 · arxiv_version: 1202.2231v1 · doi: 10.48550/arxiv.1202.2231 · pith_short_12: Q66DJVO47KII · pith_short_16: Q66DJVO47KII3YW2 · pith_short_8: Q66DJVO4

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/Q66DJVO47KII3YW26GJZFGCRD5 \
  | 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: 87bc34d5dcfa908de2daf1939298511f6b811824d5e19cfe9d7825b68636f957

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79c7ab316f623d755285bc6665aed195b3de68f8bbd3c2e229ac6fc6f978a099",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-02-10T10:30:00Z",
    "title_canon_sha256": "7cd56e44db6d8b5ecf08b8c00174be6a9140c5b80a8453bbe0ad76d6b36b0168"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2231",
    "kind": "arxiv",
    "version": 1
  }
}