Pith Number

pith:4LOYLS2M

pith:2017:4LOYLS2MCFBFPYFKSSLGTR53MK

not attested not anchored not stored refs pending

Joint Optimization of User Association, Data Delivery Rate and Precoding for Cache-Enabled F-RANs

Duy T. Ngo, Lawrence Ong, Richard H. Middleton, Salman Durrani, Tung T. Vu

arxiv:1706.10203 v1 · 2017-06-30 · 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{4LOYLS2MCFBFPYFKSSLGTR53MK}

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	2026-05-18T00:41:09.147631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2dd85cb4c114257e0aa949669c7bb62ae20b85a4838d25485659dd47a3481b7

Aliases

arxiv: 1706.10203 · arxiv_version: 1706.10203v1 · doi: 10.48550/arxiv.1706.10203 · pith_short_12: 4LOYLS2MCFBF · pith_short_16: 4LOYLS2MCFBFPYFK · pith_short_8: 4LOYLS2M

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/4LOYLS2MCFBFPYFKSSLGTR53MK \
  | 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: e2dd85cb4c114257e0aa949669c7bb62ae20b85a4838d25485659dd47a3481b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62d193f92e9b7d0870f96bc07021cff9d6e2683e628eeb0140a57c86b359b292",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-06-30T13:57:57Z",
    "title_canon_sha256": "4dedf3d5a01568c6d758d70d48357a0a10b6ead37fc68abe43b53ebad102ce68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.10203",
    "kind": "arxiv",
    "version": 1
  }
}