Pith Number

pith:QBB25WW4

pith:2016:QBB25WW4KTYZFIPY5OKWCUZ7U4

not attested not anchored not stored refs pending

Dynamic Joint Uplink and Downlink Optimization for Uplink and Downlink Decoupling-Enabled 5G Heterogeneous Networks

Danish Aziz, Qi Liao, Slawomir Stanczak

arxiv:1607.05459 v2 · 2016-07-19 · 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{QBB25WW4KTYZFIPY5OKWCUZ7U4}

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	2026-05-18T00:54:57.903355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8043aedadc54f192a1f8eb9561533fa731273ad95e22dcf59e2b0a1651d97ed7

Aliases

arxiv: 1607.05459 · arxiv_version: 1607.05459v2 · doi: 10.48550/arxiv.1607.05459 · pith_short_12: QBB25WW4KTYZ · pith_short_16: QBB25WW4KTYZFIPY · pith_short_8: QBB25WW4

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/QBB25WW4KTYZFIPY5OKWCUZ7U4 \
  | 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: 8043aedadc54f192a1f8eb9561533fa731273ad95e22dcf59e2b0a1651d97ed7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d34d266ba1f63a68d3bad922223ca7bac9508ea4fbd54befe0eca363b90eba4",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-07-19T08:36:51Z",
    "title_canon_sha256": "b570bce65962f213874419bfc7adb7650a6b5c5ff0277422806a26e88a3730e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05459",
    "kind": "arxiv",
    "version": 2
  }
}