Pith Number

pith:E2EEA3LJ

pith:2016:E2EEA3LJYALSWXSMCJDLAJFSTL

not attested not anchored not stored refs pending

Optimal Degrees of Freedom Region for the Asymmetric MIMO Y Channel

Kangqi Liu, Meixia Tao, Xiaojun Yuan

arxiv:1605.01178 v3 · 2016-05-04 · 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{E2EEA3LJYALSWXSMCJDLAJFSTL}

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	2026-05-18T00:58:33.573211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2688406d69c0172b5e4c1246b024b29aeb5d529ee87c52200a846b6fe36114f1

Aliases

arxiv: 1605.01178 · arxiv_version: 1605.01178v3 · doi: 10.48550/arxiv.1605.01178 · pith_short_12: E2EEA3LJYALS · pith_short_16: E2EEA3LJYALSWXSM · pith_short_8: E2EEA3LJ

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/E2EEA3LJYALSWXSMCJDLAJFSTL \
  | 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: 2688406d69c0172b5e4c1246b024b29aeb5d529ee87c52200a846b6fe36114f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9432f54f518cc296e0dcabdc49d88fbcadaac1b81c012a0ec68f5ad5c06974b",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-05-04T08:26:05Z",
    "title_canon_sha256": "e7bbc22b572fd047ef14010fc8356b9b5e1bc82a46acf8c2bf5a26497fa9a18f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01178",
    "kind": "arxiv",
    "version": 3
  }
}