Pith Number

pith:JFALEUFG

pith:2013:JFALEUFG5BB4KINAQ3RP3NPWTO

not attested not anchored not stored refs pending

On the Degrees of Freedom of Asymmetric MIMO Interference Broadcast Channels

Chenyang Yang, Tingting Liu

arxiv:1310.7311 v1 · 2013-10-28 · 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{JFALEUFG5BB4KINAQ3RP3NPWTO}

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	2026-05-18T03:08:45.705334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4940b250a6e843c521a086e2fdb5f69b96e3cbcaba353ac5ce51bab4adbaca20

Aliases

arxiv: 1310.7311 · arxiv_version: 1310.7311v1 · doi: 10.48550/arxiv.1310.7311 · pith_short_12: JFALEUFG5BB4 · pith_short_16: JFALEUFG5BB4KINA · pith_short_8: JFALEUFG

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/JFALEUFG5BB4KINAQ3RP3NPWTO \
  | 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: 4940b250a6e843c521a086e2fdb5f69b96e3cbcaba353ac5ce51bab4adbaca20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9fb34c257649df1842e978c4597a3dfd628d5a1bd86385d31019c783e0e3755",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-10-28T04:19:21Z",
    "title_canon_sha256": "781e5589a621a64788ef9cd78711237e3fb63f40964a2e39ee2be522d27f9e57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7311",
    "kind": "arxiv",
    "version": 1
  }
}