Pith Number

pith:4UIJHH7C

pith:2016:4UIJHH7CAQ5RPNMQCSAIGSSO4I

not attested not anchored not stored refs pending

Asymmetric Degrees of Freedom of the Full-Duplex MIMO 3-Way Channel with Unicast and Broadcast Messages

Adel M. Elmahdy, Amr El-Keyi, Karim G. Seddik, Mohammed Nafie, Tamer ElBatt, Tamer Khattab, Yahya Mohasseb

arxiv:1608.00209 v1 · 2016-07-31 · 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{4UIJHH7CAQ5RPNMQCSAIGSSO4I}

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	2026-05-18T01:10:12.202449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e510939fe2043b17b5901480834a4ee22b65ffb09179cb2be337e63f1fe6bbc5

Aliases

arxiv: 1608.00209 · arxiv_version: 1608.00209v1 · doi: 10.48550/arxiv.1608.00209 · pith_short_12: 4UIJHH7CAQ5R · pith_short_16: 4UIJHH7CAQ5RPNMQ · pith_short_8: 4UIJHH7C

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/4UIJHH7CAQ5RPNMQCSAIGSSO4I \
  | 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: e510939fe2043b17b5901480834a4ee22b65ffb09179cb2be337e63f1fe6bbc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04e9a65f65cf3638a74ad74dffc3042782d73749013224aed4ff8ecdedc84027",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-07-31T11:32:14Z",
    "title_canon_sha256": "52ce4ac3de62d429a243834a9ae61e9040934286659a8c12cf2b3c0fe21ddbd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00209",
    "kind": "arxiv",
    "version": 1
  }
}