Pith Number

pith:GJNIS6X3

pith:2015:GJNIS6X3P5OVWXRC7GXWWA25IH

not attested not anchored not stored refs pending

Hierarchical Cooperation for Operator-Controlled Device-to-Device Communications: A Layered Coalitional Game Approach

Dusit Niyato, Ping Wang, Xiao Lu

arxiv:1501.00620 v1 · 2015-01-04 · cs.NI · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJNIS6X3P5OVWXRC7GXWWA25IH}

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	2026-05-18T02:30:02.123564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

325a897afb7f5d5b5e22f9af6b035d41ea93bada9e5f51a6365bccc13bfff871

Aliases

arxiv: 1501.00620 · arxiv_version: 1501.00620v1 · doi: 10.48550/arxiv.1501.00620 · pith_short_12: GJNIS6X3P5OV · pith_short_16: GJNIS6X3P5OVWXRC · pith_short_8: GJNIS6X3

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/GJNIS6X3P5OVWXRC7GXWWA25IH \
  | 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: 325a897afb7f5d5b5e22f9af6b035d41ea93bada9e5f51a6365bccc13bfff871

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47f21b79521ba0e93a427d44c75db01b377b78c394d817d22c3cd77ce08ba9d2",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2015-01-04T01:29:09Z",
    "title_canon_sha256": "f6b666806e6f41fb1b48efd2542d19dd26787c8b4ae082d267f4d97f7507fbdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00620",
    "kind": "arxiv",
    "version": 1
  }
}