Pith Number

pith:JYCZAO3L

pith:2012:JYCZAO3LE47KK2LTBGJRRJUOGY

not attested not anchored not stored refs pending

Degrees of Freedom of Multi-hop MIMO Broadcast Networks with Delayed CSIT

Chao Wang, Mikael Skoglund, Ming Xiao, Zhao Wang

arxiv:1210.3563 v1 · 2012-10-12 · 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{JYCZAO3LE47KK2LTBGJRRJUOGY}

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	2026-05-18T03:43:19.382027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e05903b6b273ea56973099318a68e3638b71b829eb507ed1a8e3663ff87715a

Aliases

arxiv: 1210.3563 · arxiv_version: 1210.3563v1 · doi: 10.48550/arxiv.1210.3563 · pith_short_12: JYCZAO3LE47K · pith_short_16: JYCZAO3LE47KK2LT · pith_short_8: JYCZAO3L

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/JYCZAO3LE47KK2LTBGJRRJUOGY \
  | 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: 4e05903b6b273ea56973099318a68e3638b71b829eb507ed1a8e3663ff87715a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87fa87c635c87796a091c1f310eff90b52953db838eac16ab39a3120b1884135",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-10-12T16:19:17Z",
    "title_canon_sha256": "0ea846038df597330a513d9a1ae44c44ec8f4dfd7beb9a56ace19c92ad752148"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3563",
    "kind": "arxiv",
    "version": 1
  }
}