Pith Number

pith:XPUDSC5M

pith:2015:XPUDSC5MWM5L5NPAEQXKXGQUCN

not attested not anchored not stored refs pending

Transmit Power Minimization in Small Cell Networks Under Time Average QoS Constraints

Merouane Debbah, Mohamad Assaad, Subhash Lakshminarayana

arxiv:1507.03839 v1 · 2015-07-14 · 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{XPUDSC5MWM5L5NPAEQXKXGQUCN}

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	2026-05-18T01:36:52.466575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbe8390bacb33abeb5e0242eab9a14137d8514db587877ceda2fdd97ba9761f5

Aliases

arxiv: 1507.03839 · arxiv_version: 1507.03839v1 · doi: 10.48550/arxiv.1507.03839 · pith_short_12: XPUDSC5MWM5L · pith_short_16: XPUDSC5MWM5L5NPA · pith_short_8: XPUDSC5M

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/XPUDSC5MWM5L5NPAEQXKXGQUCN \
  | 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: bbe8390bacb33abeb5e0242eab9a14137d8514db587877ceda2fdd97ba9761f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f2077219870ced96de74cde4f8743363f730400f23f7d1defbdf85a140bc1cf",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-07-14T13:16:31Z",
    "title_canon_sha256": "9190cbe4d874691e98ff1436d3b61b3a9d4bc406edda213564c961bec54e8bc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03839",
    "kind": "arxiv",
    "version": 1
  }
}