Pith Number

pith:42CZUCR5

pith:2012:42CZUCR54CNE2VPU5PFWBWATWZ

not attested not anchored not stored refs pending

The degrees of freedom of MIMO networks with full-duplex receiver cooperation but no CSIT

Chinmay S. Vaze, Mahesh K. Varanasi

arxiv:1209.1291 v1 · 2012-09-06 · 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{42CZUCR54CNE2VPU5PFWBWATWZ}

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	2026-05-18T03:46:06.007624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6859a0a3de09a4d55f4ebcb60d813b6677b6ffe97d2593ca8cae71d228684a0

Aliases

arxiv: 1209.1291 · arxiv_version: 1209.1291v1 · doi: 10.48550/arxiv.1209.1291 · pith_short_12: 42CZUCR54CNE · pith_short_16: 42CZUCR54CNE2VPU · pith_short_8: 42CZUCR5

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/42CZUCR54CNE2VPU5PFWBWATWZ \
  | 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: e6859a0a3de09a4d55f4ebcb60d813b6677b6ffe97d2593ca8cae71d228684a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbed49db20cfa78aa0b1f461bafef7d12119c2b18898a8fd029b987fc67db5ae",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-09-06T14:26:51Z",
    "title_canon_sha256": "5eb2cceec5c995740585c7d87754b9ecde471358ee132b330429261a5f3055c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1291",
    "kind": "arxiv",
    "version": 1
  }
}