Pith. sign in
Pith Number

pith:ZDYAGNCJ

pith:2021:ZDYAGNCJXTTE4YNQMRRLZLLHFU
not attested not anchored not stored refs pending

Sum-Rate Maximization for Multi-Reconfigurable Intelligent Surface-Assisted Device-to-Device Communications

Tiejun Lv, Wei Ni, Yashuai Cao, Zhipeng Lin

arxiv:2108.07091 v1 · 2021-08-16 · cs.IT · eess.SP · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZDYAGNCJXTTE4YNQMRRLZLLHFU}

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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 2026-07-05T03:07:52.213330Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c8f0033449bce64e61b06462bcad672d02bade3fdef307bbb89e6f86584143ac

Aliases

arxiv: 2108.07091 · arxiv_version: 2108.07091v1 · doi: 10.48550/arxiv.2108.07091 · pith_short_12: ZDYAGNCJXTTE · pith_short_16: ZDYAGNCJXTTE4YNQ · pith_short_8: ZDYAGNCJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZDYAGNCJXTTE4YNQMRRLZLLHFU \
  | 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: c8f0033449bce64e61b06462bcad672d02bade3fdef307bbb89e6f86584143ac
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ac7bd7b8406e80ac418d0fd53fdad3ccb9db212c9c993a58b1dd95f282377e0a",
    "cross_cats_sorted": [
      "eess.SP",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-08-16T13:47:28Z",
    "title_canon_sha256": "37424a27fcc2725fadd3096e8554d13ed2da57df6cfef9cf2cfe72a7e1bf6bf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.07091",
    "kind": "arxiv",
    "version": 1
  }
}