Pith Number

pith:TXTCNFAC

pith:2009:TXTCNFACDVTE6VJ57BANQUJONP

not attested not anchored not stored refs pending

The Degrees of Freedom Regions of MIMO Broadcast, Interference, and Cognitive Radio Channels with No CSIT

Chinmay S. Vaze, Mahesh K. Varanasi

arxiv:0909.5424 v3 · 2009-09-29 · 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{TXTCNFACDVTE6VJ57BANQUJONP}

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	2026-05-18T02:24:47.006390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9de62694021d664f553df840d8512e6bfc738442d3a2c692bfcad5a96bb53a57

Aliases

arxiv: 0909.5424 · arxiv_version: 0909.5424v3 · doi: 10.48550/arxiv.0909.5424 · pith_short_12: TXTCNFACDVTE · pith_short_16: TXTCNFACDVTE6VJ5 · pith_short_8: TXTCNFAC

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/TXTCNFACDVTE6VJ57BANQUJONP \
  | 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: 9de62694021d664f553df840d8512e6bfc738442d3a2c692bfcad5a96bb53a57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a908fe1c567335bc4ef10409932ea6bde475d8b871b1d7ed670877d175a7312",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2009-09-29T19:59:16Z",
    "title_canon_sha256": "520772185ef985f5cac925ca3a70620b67b6e096232f7089bfd721a6b32e4016"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.5424",
    "kind": "arxiv",
    "version": 3
  }
}