Pith Number

pith:NULTLO63

pith:2015:NULTLO63KITJXFBUO5RKJCB5LS

not attested not anchored not stored refs pending

Competition and Efficiency of Coalitions in Cournot Games with Uncertainty

Baosen Zhang, Ramesh Johari, Ram Rajagopal

arxiv:1503.02479 v2 · 2015-03-09 · cs.GT · cs.SY · math.OC · q-fin.EC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NULTLO63KITJXFBUO5RKJCB5LS}

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	2026-05-18T00:38:11.930573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d1735bbdb52269b94347762a4883d5c9e6daaef26d500fb7f8bf07ba137fa4b

Aliases

arxiv: 1503.02479 · arxiv_version: 1503.02479v2 · doi: 10.48550/arxiv.1503.02479 · pith_short_12: NULTLO63KITJ · pith_short_16: NULTLO63KITJXFBU · pith_short_8: NULTLO63

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/NULTLO63KITJXFBUO5RKJCB5LS \
  | 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: 6d1735bbdb52269b94347762a4883d5c9e6daaef26d500fb7f8bf07ba137fa4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69d29a3db27aada06adbc3d512358800bca920c73998dc89dbd69aba3ea530c8",
    "cross_cats_sorted": [
      "cs.SY",
      "math.OC",
      "q-fin.EC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2015-03-09T14:00:11Z",
    "title_canon_sha256": "98e0286aa45ae4f95b89cf5fdf27dadb7c34c54d6459f8702c59ec51da055f3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02479",
    "kind": "arxiv",
    "version": 2
  }
}