Pith Number

pith:R6AS2FFN

pith:2026:R6AS2FFN3KSYSAVEJ67C3DAMJU

not attested not anchored not stored refs pending

The Geometry of Cooperative Game Solutions: Stratified Egalitarian Shapley Values

Frank M. V. Feys

arxiv:2605.22847 v1 · 2026-05-15 · cs.GT · econ.TH · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R6AS2FFN3KSYSAVEJ67C3DAMJU}

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	2026-05-25T00:00:58.984740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f812d14addaa58902a44fbe2d8c0c4d13d18ae01cfdd6514555c331167ea403

Aliases

arxiv: 2605.22847 · arxiv_version: 2605.22847v1 · doi: 10.48550/arxiv.2605.22847 · pith_short_12: R6AS2FFN3KSY · pith_short_16: R6AS2FFN3KSYSAVE · pith_short_8: R6AS2FFN

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/R6AS2FFN3KSYSAVEJ67C3DAMJU \
  | 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: 8f812d14addaa58902a44fbe2d8c0c4d13d18ae01cfdd6514555c331167ea403

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81ba8a89a1a02ba9047c2fae82fc7fd121375b2778e6bb5ae17b26282184c3b0",
    "cross_cats_sorted": [
      "econ.TH",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-05-15T10:02:59Z",
    "title_canon_sha256": "caed5fbfe02ed6c8af4d03b8164fb5f78f1620d1132fbcd6575abaf00087aacc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22847",
    "kind": "arxiv",
    "version": 1
  }
}