Pith Number

pith:NGD4J7OV

pith:2012:NGD4J7OVKCQZIGHSEKGS7G6ZGR

not attested not anchored not stored refs pending

On the Degrees of Freedom of time correlated MISO broadcast channel with delayed CSIT

David Gesbert, Mari Kobayashi, Sheng Yang, Xinping Yi

arxiv:1202.1909 v1 · 2012-02-09 · 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{NGD4J7OVKCQZIGHSEKGS7G6ZGR}

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	2026-05-18T04:02:38.771152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6987c4fdd550a19418f2228d2f9bd934565850a56687b38000058c974fd8e4d5

Aliases

arxiv: 1202.1909 · arxiv_version: 1202.1909v1 · doi: 10.48550/arxiv.1202.1909 · pith_short_12: NGD4J7OVKCQZ · pith_short_16: NGD4J7OVKCQZIGHS · pith_short_8: NGD4J7OV

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/NGD4J7OVKCQZIGHSEKGS7G6ZGR \
  | 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: 6987c4fdd550a19418f2228d2f9bd934565850a56687b38000058c974fd8e4d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6459177a75822157e17674e3c3a8fe1e81ee4a9d0b428c744497c606b353f937",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-02-09T08:30:59Z",
    "title_canon_sha256": "915209bac2e07950b8b5cfe66442f6b608df3b6c6d3b6897cbc5d01b8f3d03c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1909",
    "kind": "arxiv",
    "version": 1
  }
}