Pith Number

pith:RHR2H76Z

pith:2015:RHR2H76ZQX2JLHZKEFRCXHFBUH

not attested not anchored not stored refs pending

Mode Selection, Resource Allocation and Power Control for D2D-Enabled Two-Tier Cellular Network

Ali A. Nasir, Salman Durrani, Xiangyun Zhou, Yifei Huang

arxiv:1509.00123 v3 · 2015-09-01 · 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{RHR2H76ZQX2JLHZKEFRCXHFBUH}

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	2026-05-18T00:58:57.869873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89e3a3ffd985f4959f2a21622b9ca1a1cacc58632ec1f8759d9a828f0ab6abf1

Aliases

arxiv: 1509.00123 · arxiv_version: 1509.00123v3 · doi: 10.48550/arxiv.1509.00123 · pith_short_12: RHR2H76ZQX2J · pith_short_16: RHR2H76ZQX2JLHZK · pith_short_8: RHR2H76Z

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/RHR2H76ZQX2JLHZKEFRCXHFBUH \
  | 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: 89e3a3ffd985f4959f2a21622b9ca1a1cacc58632ec1f8759d9a828f0ab6abf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "160728e822aa3de133d7e76b1dde03102c27c1b9e63d43405816e62022efa569",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-09-01T02:38:46Z",
    "title_canon_sha256": "8fc1c3b968a8e79aadce12bf53a8cd85292fc31552bc9e5eb215acb7e3d58a6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00123",
    "kind": "arxiv",
    "version": 3
  }
}