Pith Number

pith:32HIGL63

pith:2012:32HIGL63VQ3XMAKZCANJ2TKO3O

not attested not anchored not stored refs pending

Efficiency Loss in a Cournot Oligopoly with Convex Market Demand

John N. Tsitsiklis, Yunjian Xu

arxiv:1203.6675 v1 · 2012-03-29 · math.OC · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32HIGL63VQ3XMAKZCANJ2TKO3O}

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	2026-05-18T03:52:27.950612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de8e832fdbac37760159101a9d4d4edb834754c69a81cfc6c9d4d380fcb83eac

Aliases

arxiv: 1203.6675 · arxiv_version: 1203.6675v1 · doi: 10.48550/arxiv.1203.6675 · pith_short_12: 32HIGL63VQ3X · pith_short_16: 32HIGL63VQ3XMAKZ · pith_short_8: 32HIGL63

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/32HIGL63VQ3XMAKZCANJ2TKO3O \
  | 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: de8e832fdbac37760159101a9d4d4edb834754c69a81cfc6c9d4d380fcb83eac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2aa9cabf96af70ad8e353ad2665a7d1b171436a483f5df038e209f53ebd638c9",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-03-29T21:38:20Z",
    "title_canon_sha256": "0052024a8e0217dfaf9a86dce3c856feda9c8cf438ae7bff9f1e46e3fdf7ed49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6675",
    "kind": "arxiv",
    "version": 1
  }
}