Pith Number

pith:KAMY6RGI

pith:2013:KAMY6RGIWRGIPNZ2PD3LKEJWT2

not attested not anchored not stored refs pending

Achieving maximum energy-efficiency in multi-relay OFDMA cellular networks: a fractional programming approach

Kent Tsz Kan Cheung, Lajos Hanzo, Shaoshi Yang

arxiv:1310.7839 v1 · 2013-10-29 · 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{KAMY6RGIWRGIPNZ2PD3LKEJWT2}

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	2026-05-18T03:07:44.051493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50198f44c8b44c87b73a78f6b511369e8075553486978ee7ab8f09028bdd7eaa

Aliases

arxiv: 1310.7839 · arxiv_version: 1310.7839v1 · doi: 10.48550/arxiv.1310.7839 · pith_short_12: KAMY6RGIWRGI · pith_short_16: KAMY6RGIWRGIPNZ2 · pith_short_8: KAMY6RGI

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/KAMY6RGIWRGIPNZ2PD3LKEJWT2 \
  | 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: 50198f44c8b44c87b73a78f6b511369e8075553486978ee7ab8f09028bdd7eaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d1370420183270dc0144dacadb5283363be095cd6183b61cce6efe6cd216d4a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-10-29T15:31:32Z",
    "title_canon_sha256": "2141ebffb8e90baf552cf4e64a2b2cea8c0c72d5e17ceff0d3d5cbee00755d74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7839",
    "kind": "arxiv",
    "version": 1
  }
}