Pith Number

pith:3B7Z3U46

pith:2016:3B7Z3U46A2T2HTGZP44F2BJGDA

not attested not anchored not stored refs pending

Cross-layer design for downlink multi-hop cloud radio access networks with network coding

Liang Liu, Wei Yu

arxiv:1606.08950 v1 · 2016-06-29 · 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{3B7Z3U46A2T2HTGZP44F2BJGDA}

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	2026-05-18T00:47:20.817954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d87f9dd39e06a7a3ccd97f385d052618257fa78c693711a2049da500d5c43409

Aliases

arxiv: 1606.08950 · arxiv_version: 1606.08950v1 · doi: 10.48550/arxiv.1606.08950 · pith_short_12: 3B7Z3U46A2T2 · pith_short_16: 3B7Z3U46A2T2HTGZ · pith_short_8: 3B7Z3U46

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/3B7Z3U46A2T2HTGZP44F2BJGDA \
  | 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: d87f9dd39e06a7a3ccd97f385d052618257fa78c693711a2049da500d5c43409

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ac7f374d70650999b182a21c327aeb9a407188f21c26ff60ee5433aa9ae525b",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-06-29T04:40:34Z",
    "title_canon_sha256": "1c7153d83191f84ed00e0ecabcc221ed4969d00b332ad48ed5abefc3c9fa5ac4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08950",
    "kind": "arxiv",
    "version": 1
  }
}