Pith Number

pith:CKMJYZAR

pith:2015:CKMJYZARLG465IWC2WVNIGY4QI

not attested not anchored not stored refs pending

Multihop Relaying in Millimeter Wave Networks: A Proportionally Fair Cooperative Network Formation Game

Corinne Touati, Nof Abuzainab

arxiv:1510.07917 v1 · 2015-10-27 · cs.GT · cs.NI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CKMJYZARLG465IWC2WVNIGY4QI}

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	2026-05-18T00:57:50.290154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12989c641159b9eea2c2d5aad41b1c821d97fa8fad2f225d0636cdba7928552a

Aliases

arxiv: 1510.07917 · arxiv_version: 1510.07917v1 · doi: 10.48550/arxiv.1510.07917 · pith_short_12: CKMJYZARLG46 · pith_short_16: CKMJYZARLG465IWC · pith_short_8: CKMJYZAR

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/CKMJYZARLG465IWC2WVNIGY4QI \
  | 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: 12989c641159b9eea2c2d5aad41b1c821d97fa8fad2f225d0636cdba7928552a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0b10d1ea0e367d4a30db7dfa4ebcd868e7417a35b6feb5363c9dfd9ba46abed",
    "cross_cats_sorted": [
      "cs.NI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2015-10-27T14:28:13Z",
    "title_canon_sha256": "24712e16d783fa54b8c9fdcd99ea677ae893ecbc0b1a50c3a1ccfbc131f8254e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07917",
    "kind": "arxiv",
    "version": 1
  }
}