Pith Number

pith:B5Z6WKVJ

pith:2013:B5Z6WKVJYMBMZG3T6TFD3JJ3ZJ

not attested not anchored not stored refs pending

Competition vs. Cooperation: A Game-Theoretic Decision Analysis for MIMO HetNets

Halima Elbiaze, Mathew Goonewardena, Wessam Ajib, Xin Jin

arxiv:1310.4162 v3 · 2013-10-15 · cs.GT · cs.IT · cs.NI · 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{B5Z6WKVJYMBMZG3T6TFD3JJ3ZJ}

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	2026-05-18T02:58:23.337780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f73eb2aa9c302cc9b73f4ca3da53bca6841a9301f3b51b7473131d287df0dba

Aliases

arxiv: 1310.4162 · arxiv_version: 1310.4162v3 · doi: 10.48550/arxiv.1310.4162 · pith_short_12: B5Z6WKVJYMBM · pith_short_16: B5Z6WKVJYMBMZG3T · pith_short_8: B5Z6WKVJ

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/B5Z6WKVJYMBMZG3T6TFD3JJ3ZJ \
  | 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: 0f73eb2aa9c302cc9b73f4ca3da53bca6841a9301f3b51b7473131d287df0dba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fde7f0977e50b3b7e2ab43d65c4c7f87d1b6dfb28bcd9e5ae350367ab891cf97",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.NI",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2013-10-15T19:48:19Z",
    "title_canon_sha256": "d9ee422b390d4fdfacd0f4326fe10efc1d2f7b57b91d05cd5d1e47b781cc6e8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4162",
    "kind": "arxiv",
    "version": 3
  }
}