Pith Number

pith:I5KVGZET

pith:2019:I5KVGZETNQS7QZIBQB2FPWWAKJ

not attested not anchored not stored refs pending

Degrees of Freedom Region of the $(M,N_1,N_2)$ MIMO Broadcast Channel with Partial CSIT: An Application of Sum-set Inequalities Based on Aligned Image Sets

Arash Gholami Davoodi, Syed A. Jafar

arxiv:1901.06010 v1 · 2019-01-17 · 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{I5KVGZETNQS7QZIBQB2FPWWAKJ}

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	2026-05-17T23:56:04.801172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47555364936c25f86501807457dac0525516f676ebb7e99f7663d33f0be46dcb

Aliases

arxiv: 1901.06010 · arxiv_version: 1901.06010v1 · doi: 10.48550/arxiv.1901.06010 · pith_short_12: I5KVGZETNQS7 · pith_short_16: I5KVGZETNQS7QZIB · pith_short_8: I5KVGZET

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/I5KVGZETNQS7QZIBQB2FPWWAKJ \
  | 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: 47555364936c25f86501807457dac0525516f676ebb7e99f7663d33f0be46dcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c7952ffef997885126d61e99f76eb2d2a10eff7c33b7844c6c2f0aeb41a8c88",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-01-17T21:34:34Z",
    "title_canon_sha256": "057cba2db2d4c5b2748857ccc9a649e5077647b8f7fa616c278add7f788a5e15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.06010",
    "kind": "arxiv",
    "version": 1
  }
}