Pith Number

pith:GD6X5XUD

pith:2010:GD6X5XUD3GXVIRBPBQTPA5RHAR

not attested not anchored not stored refs pending

Energy-Efficient Relay Selection and Optimal Relay Location in Cooperative Cellular Networks with Asymmetric Traffic

Lihua Li, Wanlu Sun, Wei Yang

arxiv:1009.0078 v1 · 2010-09-01 · 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{GD6X5XUD3GXVIRBPBQTPA5RHAR}

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	2026-05-18T04:41:35.582202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30fd7ede83d9af54442f0c26f076270457c1a84e2324b73c46a1c0e50a1a3a20

Aliases

arxiv: 1009.0078 · arxiv_version: 1009.0078v1 · doi: 10.48550/arxiv.1009.0078 · pith_short_12: GD6X5XUD3GXV · pith_short_16: GD6X5XUD3GXVIRBP · pith_short_8: GD6X5XUD

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/GD6X5XUD3GXVIRBPBQTPA5RHAR \
  | 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: 30fd7ede83d9af54442f0c26f076270457c1a84e2324b73c46a1c0e50a1a3a20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e344084bf34c21fa7f38d46c687c2d1e0eace58d1afbcf5c4b4a0eae90fa904f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-09-01T02:37:57Z",
    "title_canon_sha256": "eff888bb647f7f86e8a43e2cf564ae7d95844a255d922daeb78888122461b01f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0078",
    "kind": "arxiv",
    "version": 1
  }
}