Pith Number

pith:B7MWW5SA

pith:2016:B7MWW5SACYGHUNUPZTQJVYYNGF

not attested not anchored not stored refs pending

Optimal Caching and User Association in Cache-enabled Heterogeneous Wireless Networks

Fan Lai, Philip Whiting, Stephen Hanly, Ying Cui

arxiv:1604.05828 v1 · 2016-04-20 · 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{B7MWW5SACYGHUNUPZTQJVYYNGF}

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	2026-05-18T01:16:35.356286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fd96b7640160c7a368fcce09ae30d315510d39d00e28e8ddfea4f78870e4f96

Aliases

arxiv: 1604.05828 · arxiv_version: 1604.05828v1 · doi: 10.48550/arxiv.1604.05828 · pith_short_12: B7MWW5SACYGH · pith_short_16: B7MWW5SACYGHUNUP · pith_short_8: B7MWW5SA

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/B7MWW5SACYGHUNUPZTQJVYYNGF \
  | 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: 0fd96b7640160c7a368fcce09ae30d315510d39d00e28e8ddfea4f78870e4f96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "394e152f32db4e17c3600bdfd0dfe6a1c244a463c5413945d0c8f73f007c436c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-04-20T06:00:04Z",
    "title_canon_sha256": "11492d85a745ad8f38c4486cbf97b47da03ac5aa9292c875fec6faf59821b832"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05828",
    "kind": "arxiv",
    "version": 1
  }
}