Pith Number

pith:C3S4NBGN

pith:2015:C3S4NBGNA46BM7QHAT774UEO7I

not attested not anchored not stored refs pending

Achievable Degrees of Freedom on K-user MIMO Multi-way Relay Channel with Common and Private Messages

Amr El-Keyi, Mohamed Salah, Mohammed Nafie, Yahya Mohasseb

arxiv:1510.00359 v3 · 2015-10-01 · 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{C3S4NBGNA46BM7QHAT774UEO7I}

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	2026-05-18T00:58:57.726415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16e5c684cd073c167e0704fffe508efa144480d8d0417693dc70091d0dd2d4bd

Aliases

arxiv: 1510.00359 · arxiv_version: 1510.00359v3 · doi: 10.48550/arxiv.1510.00359 · pith_short_12: C3S4NBGNA46B · pith_short_16: C3S4NBGNA46BM7QH · pith_short_8: C3S4NBGN

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/C3S4NBGNA46BM7QHAT774UEO7I \
  | 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: 16e5c684cd073c167e0704fffe508efa144480d8d0417693dc70091d0dd2d4bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b660c441153362b9646a6bb28188fa4a1c97f019bdd39f0143e51cd5821979e3",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-10-01T18:25:11Z",
    "title_canon_sha256": "7fcfbb69773a1fcc14edc92dfbdecb0d4f4c5d10be9ca2e2eca3395c3d43e470"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00359",
    "kind": "arxiv",
    "version": 3
  }
}