Pith Number

pith:4RPGJZOU

pith:2016:4RPGJZOU6NJADZFHQVXPMUZLXL

not attested not anchored not stored refs pending

On the Degrees of Freedom of SISO X-networks with Synergistic Alternating Channel State Information at transmitters

Ahmed Wagdy Shaban, Amr El-Keyi, Mohammed Nafie, Tamer Khattab

arxiv:1605.07069 v1 · 2016-05-23 · 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{4RPGJZOU6NJADZFHQVXPMUZLXL}

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	2026-05-18T01:14:10.431900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e45e64e5d4f35201e4a7856ef6532bbad3673456c6d2b6d12a9c16e7c32c83a2

Aliases

arxiv: 1605.07069 · arxiv_version: 1605.07069v1 · doi: 10.48550/arxiv.1605.07069 · pith_short_12: 4RPGJZOU6NJA · pith_short_16: 4RPGJZOU6NJADZFH · pith_short_8: 4RPGJZOU

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/4RPGJZOU6NJADZFHQVXPMUZLXL \
  | 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: e45e64e5d4f35201e4a7856ef6532bbad3673456c6d2b6d12a9c16e7c32c83a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a573ca0b10ce763a8604bb842daf8b4d3d4ecc5d1a07d74d2f7d6f6603f8471",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-05-23T16:04:33Z",
    "title_canon_sha256": "3d3d4144011baccd8027c9ab5d0e2e62d0880febadef0d7904a34aeaecbad6dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07069",
    "kind": "arxiv",
    "version": 1
  }
}