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Pith Number

pith:5TCZVMEK

pith:2016:5TCZVMEKTJ47RUMAHMW5SY4INK
not attested not anchored not stored refs pending

On User Association in Multi-Tier Full-Duplex Cellular Networks

Ahmed Hamdi Sakr, Ekram Hossain

arxiv:1607.01119 v4 · 2016-07-05 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5TCZVMEKTJ47RUMAHMW5SY4INK}

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 2026-05-18T00:42:32.724424Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ecc59ab08a9a79f8d1803b2dd963886a9d9a628e209351ae64770bcde8f90a12

Aliases

arxiv: 1607.01119 · arxiv_version: 1607.01119v4 · doi: 10.48550/arxiv.1607.01119 · pith_short_12: 5TCZVMEKTJ47 · pith_short_16: 5TCZVMEKTJ47RUMA · pith_short_8: 5TCZVMEK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5TCZVMEKTJ47RUMAHMW5SY4INK \
  | 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: ecc59ab08a9a79f8d1803b2dd963886a9d9a628e209351ae64770bcde8f90a12
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f9f6f39bbc201dc44418538b5bf9e998dab6ff6632fcf3e05981859c5642b5ea",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-07-05T05:46:42Z",
    "title_canon_sha256": "ec42d480f90bada6aaf63b753a941669bc8b994959d2481af05e5f1ff9137f7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01119",
    "kind": "arxiv",
    "version": 4
  }
}