Pith Number

pith:2REPHU6K

pith:2014:2REPHU6KUI2F3XU3LZUGZXGU33

not attested not anchored not stored refs pending

Joint Rate and SINR Coverage Analysis for Decoupled Uplink-Downlink Biased Cell Associations in HetNets

Jeffrey G. Andrews, Sarabjot Singh, Xinchen Zhang

arxiv:1412.1898 v2 · 2014-12-05 · cs.IT · cs.NI · 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{2REPHU6KUI2F3XU3LZUGZXGU33}

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	2026-05-18T02:20:30.454937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d448f3d3caa2345dde9b5e686cdcd4deee035c88c202e793c295219f4d284320

Aliases

arxiv: 1412.1898 · arxiv_version: 1412.1898v2 · doi: 10.48550/arxiv.1412.1898 · pith_short_12: 2REPHU6KUI2F · pith_short_16: 2REPHU6KUI2F3XU3 · pith_short_8: 2REPHU6K

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/2REPHU6KUI2F3XU3LZUGZXGU33 \
  | 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: d448f3d3caa2345dde9b5e686cdcd4deee035c88c202e793c295219f4d284320

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41b5ed4ebd76067d096916f0106015ba32939adbff3b4b2217283b2d6addba72",
    "cross_cats_sorted": [
      "cs.NI",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-12-05T05:43:16Z",
    "title_canon_sha256": "ba870fa6cce97c0273486fed581d4fcde58f80de5b488798dc3a0e07c1771ed5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1898",
    "kind": "arxiv",
    "version": 2
  }
}