Pith Number

pith:CH7NUDJB

pith:2010:CH7NUDJB4VKH5DNNMBNY2NAQ5L

not attested not anchored not stored refs pending

The Complexity of the Homotopy Method, Equilibrium Selection, and Lemke-Howson Solutions

Christos H. Papadimitriou, Paul W. Goldberg, Rahul Savani

arxiv:1006.5352 v2 · 2010-06-28 · cs.GT · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CH7NUDJB4VKH5DNNMBNY2NAQ5L}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:16:13.055373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11feda0d21e5547e8dad605b8d3410eacc54e9391b401997cb9ed78653613bb0

Aliases

arxiv: 1006.5352 · arxiv_version: 1006.5352v2 · doi: 10.48550/arxiv.1006.5352 · pith_short_12: CH7NUDJB4VKH · pith_short_16: CH7NUDJB4VKH5DNN · pith_short_8: CH7NUDJB

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/CH7NUDJB4VKH5DNNMBNY2NAQ5L \
  | 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: 11feda0d21e5547e8dad605b8d3410eacc54e9391b401997cb9ed78653613bb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fab7da90617ea0c7811e2a35b6f3c50196930029d6f804c6e613137a64309da2",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2010-06-28T13:59:00Z",
    "title_canon_sha256": "72acfd7b3af21e0e5fd4f547ab4e05694bfb1799d3dd6ad28734be29a43d7da3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5352",
    "kind": "arxiv",
    "version": 2
  }
}