pith. sign in
Pith Number

pith:43S6A6VY

pith:2010:43S6A6VYN7XHH7VRE2KUPKH2M6
not attested not anchored not stored refs pending

User Subscription, Revenue Maximization, and Competition in Communications Markets

Jaeok Park, Mihaela van der Schaar, Shaolei Ren

arxiv:1008.5367 v2 · 2010-08-31 · cs.GT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{43S6A6VYN7XHH7VRE2KUPKH2M6}

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 2026-05-18T03:57:27.002927Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e6e5e07ab86fee73feb1269547a8fa678b58e54cff08d63cde7d7180f6b8e1fd

Aliases

arxiv: 1008.5367 · arxiv_version: 1008.5367v2 · doi: 10.48550/arxiv.1008.5367 · pith_short_12: 43S6A6VYN7XH · pith_short_16: 43S6A6VYN7XHH7VR · pith_short_8: 43S6A6VY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/43S6A6VYN7XHH7VRE2KUPKH2M6 \
  | 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: e6e5e07ab86fee73feb1269547a8fa678b58e54cff08d63cde7d7180f6b8e1fd
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "dc34e2f9b63f4f1b8098e30ba3397a8db74eb7beb0a998c0760674a18631b457",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2010-08-31T17:07:34Z",
    "title_canon_sha256": "b6ce72584ec2cf0b3df156d286845a1a7b1785e2d582009375da2e8cbaedf44d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.5367",
    "kind": "arxiv",
    "version": 2
  }
}