Pith Number

pith:Q7PSH2WJ

pith:2011:Q7PSH2WJ5KNFQXTIUJEDEGIHKC

not attested not anchored not stored refs pending

Robust Monotonic Optimization Framework for Multicell MISO Systems

Bj\"orn Ottersten, Emil Bj\"ornson, Gan Zheng, Mats Bengtsson

arxiv:1104.5240 v4 · 2011-04-27 · 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{Q7PSH2WJ5KNFQXTIUJEDEGIHKC}

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	2026-05-18T03:57:00.717159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87df23eac9ea9a585e68a24832190750bd24da1f3e7867ae2c7bfa96aa0236f6

Aliases

arxiv: 1104.5240 · arxiv_version: 1104.5240v4 · doi: 10.48550/arxiv.1104.5240 · pith_short_12: Q7PSH2WJ5KNF · pith_short_16: Q7PSH2WJ5KNFQXTI · pith_short_8: Q7PSH2WJ

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/Q7PSH2WJ5KNFQXTIUJEDEGIHKC \
  | 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: 87df23eac9ea9a585e68a24832190750bd24da1f3e7867ae2c7bfa96aa0236f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab4b5e865985ab04d07b89a7642b7060ff41841ca0df64814a2f76c0caf4ee46",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-04-27T20:15:45Z",
    "title_canon_sha256": "84ef46ed038c2986c2842c147178360ba3d2e88d97946f38b695bb1250e5ab58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5240",
    "kind": "arxiv",
    "version": 4
  }
}