Pith Number

pith:GQUA44Q7

pith:2017:GQUA44Q73RXBL3ZA62UMJNEJDM

not attested not anchored not stored refs pending

Layered Group Sparse Beamforming for Cache-Enabled Green Wireless Networks

Jun Zhang, Khaled B. Letaief, Xi Peng, Yuanming Shi

arxiv:1707.05993 v1 · 2017-07-19 · 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{GQUA44Q73RXBL3ZA62UMJNEJDM}

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	2026-05-18T00:39:57.859892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34280e721fdc6e15ef20f6a8c4b4891b059b10ecbb4f5d5a398ad8286238ca63

Aliases

arxiv: 1707.05993 · arxiv_version: 1707.05993v1 · doi: 10.48550/arxiv.1707.05993 · pith_short_12: GQUA44Q73RXB · pith_short_16: GQUA44Q73RXBL3ZA · pith_short_8: GQUA44Q7

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/GQUA44Q73RXBL3ZA62UMJNEJDM \
  | 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: 34280e721fdc6e15ef20f6a8c4b4891b059b10ecbb4f5d5a398ad8286238ca63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94193994e74961c66666ac7d4ce1d5e737826426f2bb0c470b08ff6109387c99",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-07-19T09:36:32Z",
    "title_canon_sha256": "c86677a41952e7b97f3c0c053bd7d06330d16d14fbb62a3d1b07a515f58d5184"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05993",
    "kind": "arxiv",
    "version": 1
  }
}