Pith Number

pith:YUZWV5SJ

pith:2022:YUZWV5SJ4TMQOJQA4ZTHMHDYCY

not attested not anchored not stored refs pending

Approximations of solution concepts of cooperative games

Martin \v{C}ern\'y

arxiv:2212.04748 v1 · 2022-12-09 · 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{YUZWV5SJ4TMQOJQA4ZTHMHDYCY}

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	2026-07-05T05:23:51.094567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5336af649e4d9072600e666761c78160edf87c514d4b0a70c583a8e82856fca

Aliases

arxiv: 2212.04748 · arxiv_version: 2212.04748v1 · doi: 10.48550/arxiv.2212.04748 · pith_short_12: YUZWV5SJ4TMQ · pith_short_16: YUZWV5SJ4TMQOJQA · pith_short_8: YUZWV5SJ

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/YUZWV5SJ4TMQOJQA4ZTHMHDYCY \
  | 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: c5336af649e4d9072600e666761c78160edf87c514d4b0a70c583a8e82856fca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc08a092db686b7e5686f105c9d54645dae83a78655bfe257ef0057c5b9d085d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2022-12-09T09:53:08Z",
    "title_canon_sha256": "05058d46ee2451ec5af9546d080498e48eb436aa28b0ba3bd6df55c2768aecae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.04748",
    "kind": "arxiv",
    "version": 1
  }
}