Pith Number

pith:3XQKJDP3

pith:2011:3XQKJDP3GLZTGQVYJPJMH36TRW

not attested not anchored not stored refs pending

Steady Marginality: A Uniform Approach to Shapley Value for Games with Externalities

Oskar Skibski

arxiv:1105.2225 v1 · 2011-05-11 · 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{3XQKJDP3GLZTGQVYJPJMH36TRW}

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	2026-05-18T02:22:00.404761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dde0a48dfb32f33342b84bd2c3efd38db11316e3f0024b980126f2c5e573b017

Aliases

arxiv: 1105.2225 · arxiv_version: 1105.2225v1 · doi: 10.48550/arxiv.1105.2225 · pith_short_12: 3XQKJDP3GLZT · pith_short_16: 3XQKJDP3GLZTGQVY · pith_short_8: 3XQKJDP3

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/3XQKJDP3GLZTGQVYJPJMH36TRW \
  | 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: dde0a48dfb32f33342b84bd2c3efd38db11316e3f0024b980126f2c5e573b017

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "074918f12d5b81f8d5a200a6c229fdcc988e414366d20cb43cb154d7446f43fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2011-05-11T15:48:21Z",
    "title_canon_sha256": "09549f3c6d7d9b8da46df6a612a14c06a58e8f1c5abc2567f314d38296cc664e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2225",
    "kind": "arxiv",
    "version": 1
  }
}