Pith Number

pith:TPW6F2LR

pith:2020:TPW6F2LRWUT5RRMXIJW5SA3H27

not attested not anchored not stored refs pending

A Note on Solving Discretely-Constrained Nash-Cournot Games via Complementarity

Dimitri J. Papageorgiou, Francisco Trespalacios, Stuart Harwood

arxiv:2003.01536 v1 · 2020-02-29 · econ.TH · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TPW6F2LRWUT5RRMXIJW5SA3H27}

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	2026-07-05T05:18:42.420611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bede2e971b527d8c597426dd90367d7fc42056419d14b452abf24c5f577c4cd

Aliases

arxiv: 2003.01536 · arxiv_version: 2003.01536v1 · doi: 10.48550/arxiv.2003.01536 · pith_short_12: TPW6F2LRWUT5 · pith_short_16: TPW6F2LRWUT5RRMX · pith_short_8: TPW6F2LR

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/TPW6F2LRWUT5RRMXIJW5SA3H27 \
  | 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: 9bede2e971b527d8c597426dd90367d7fc42056419d14b452abf24c5f577c4cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71782df865abcffef220df8b5277fe690c01d84bb9f10e58c36832f9e648a4fc",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.TH",
    "submitted_at": "2020-02-29T03:30:50Z",
    "title_canon_sha256": "f4de311afdc68b7dbbb5b75945c811759133f3b6729b56ba31979fb820792f45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.01536",
    "kind": "arxiv",
    "version": 1
  }
}