Pith Number

pith:SWM7BQP3

pith:2018:SWM7BQP3EV2XF5XKBJXH5LF4C4

not attested not anchored not stored refs pending

Solving Quadratic Multi-Leader-Follower Games by Smoothing the Follower's Best Response

Anna Th\"unen, Michael Herty, Sonja Steffensen

arxiv:1808.07941 v4 · 2018-08-23 · math.OC · econ.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SWM7BQP3EV2XF5XKBJXH5LF4C4}

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	2026-07-05T00:59:10.095880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9599f0c1fb257572f6ea0a6e7eacbc170d578471d13c5c3b53f61adf271c1242

Aliases

arxiv: 1808.07941 · arxiv_version: 1808.07941v4 · doi: 10.48550/arxiv.1808.07941 · pith_short_12: SWM7BQP3EV2X · pith_short_16: SWM7BQP3EV2XF5XK · pith_short_8: SWM7BQP3

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/SWM7BQP3EV2XF5XKBJXH5LF4C4 \
  | 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: 9599f0c1fb257572f6ea0a6e7eacbc170d578471d13c5c3b53f61adf271c1242

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afaebcbb61f625ed83f927455602d97d7a36ebd6de3a5a6811193432b8dd0abb",
    "cross_cats_sorted": [
      "econ.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-08-23T20:38:57Z",
    "title_canon_sha256": "40d3156c0d567e149f79bcff7b7d3df18c1c8950083eebc1362f204f67618325"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07941",
    "kind": "arxiv",
    "version": 4
  }
}