Pith Number

pith:GBYDJIU7

pith:2011:GBYDJIU7MSNLS7ULFI4L3676VV

not attested not anchored not stored refs pending

The Generalized Degrees of Freedom Region of the MIMO Interference Channel

Mahesh K. Varanasi, Sanjay Karmakar

arxiv:1103.2560 v1 · 2011-03-13 · 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{GBYDJIU7MSNLS7ULFI4L3676VV}

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	2026-05-18T04:26:55.083166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

307034a29f649ab97e8b2a38bdfbfead6f1a11f7f7ce7b2885c8f7499a669858

Aliases

arxiv: 1103.2560 · arxiv_version: 1103.2560v1 · doi: 10.48550/arxiv.1103.2560 · pith_short_12: GBYDJIU7MSNL · pith_short_16: GBYDJIU7MSNLS7UL · pith_short_8: GBYDJIU7

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/GBYDJIU7MSNLS7ULFI4L3676VV \
  | 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: 307034a29f649ab97e8b2a38bdfbfead6f1a11f7f7ce7b2885c8f7499a669858

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7896a2aa31bc09ff4b4d65bcf23f84becfdd8eddbd8345d6c63e96f42b3b2e2",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-03-13T23:11:36Z",
    "title_canon_sha256": "79b12d0a17d32a687910f8c8678156bfe1a6f2c50544dc2daf539cf1e07b45c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2560",
    "kind": "arxiv",
    "version": 1
  }
}