Pith Number

pith:K5DSY73L

pith:2015:K5DSY73L7UJBCLJTHMW2B6FIMM

not attested not anchored not stored refs pending

Co-primary inter-operator spectrum sharing over a limited spectrum pool using repeated games

Bikramjit Singh, Konstantinos Koufos, Olav Tirkkonen, Randall Berry

arxiv:1505.01820 v1 · 2015-05-07 · 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{K5DSY73L7UJBCLJTHMW2B6FIMM}

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	2026-05-18T00:59:01.901484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57472c7f6bfd12112d333b2da0f8a863337ddab3e19092aebc7deaaeda48d8fb

Aliases

arxiv: 1505.01820 · arxiv_version: 1505.01820v1 · doi: 10.48550/arxiv.1505.01820 · pith_short_12: K5DSY73L7UJB · pith_short_16: K5DSY73L7UJBCLJT · pith_short_8: K5DSY73L

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/K5DSY73L7UJBCLJTHMW2B6FIMM \
  | 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: 57472c7f6bfd12112d333b2da0f8a863337ddab3e19092aebc7deaaeda48d8fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d88169e0f7e89b55e43abdf535b6bc624500f8ad9012c023e4892d76352e5697",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2015-05-07T19:21:59Z",
    "title_canon_sha256": "95c2b9d337227dc8f6576dfe936bf061464df0c3d882b354e14c1dc4099380a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01820",
    "kind": "arxiv",
    "version": 1
  }
}