Pith Number

pith:DSDE2N33

pith:2011:DSDE2N337KLWWYR3ZPHGINPKSB

not attested not anchored not stored refs pending

Cooperative oligopoly games: a probabilistic approach

Giorgos Stamatopoulos, Paraskevas V. Lekeas

arxiv:1107.3197 v1 · 2011-07-16 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DSDE2N337KLWWYR3ZPHGINPKSB}

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	2026-05-18T04:18:03.686113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c864d377bfa976b623bcbce6435ea9045c5e76fbc593f89de6b4081a2672619

Aliases

arxiv: 1107.3197 · arxiv_version: 1107.3197v1 · doi: 10.48550/arxiv.1107.3197 · pith_short_12: DSDE2N337KLW · pith_short_16: DSDE2N337KLWWYR3 · pith_short_8: DSDE2N33

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/DSDE2N337KLWWYR3ZPHGINPKSB \
  | 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: 1c864d377bfa976b623bcbce6435ea9045c5e76fbc593f89de6b4081a2672619

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be7e3b3f62d4a805972aed02b83832f47e46b0c37f567186ec00764f9f6ea49b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2011-07-16T04:49:44Z",
    "title_canon_sha256": "ff2fbc860e302e4b9d500bd1732c1eaaf7148b54d5bdb5f02e152cca526903ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3197",
    "kind": "arxiv",
    "version": 1
  }
}