Pith Number

pith:RI5PXCWI

pith:2026:RI5PXCWI5L5L47HBWF7IHG6PST

not attested not anchored not stored refs pending

Null player neutrality in TU-games: Egalitarian and Shapley solutions

J. C. Gon\c{c}alves-Dosantos, J. S\'anchez-Soriano, R. Mart\'inez

arxiv:2605.20113 v1 · 2026-05-19 · 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{RI5PXCWI5L5L47HBWF7IHG6PST}

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	2026-05-20T02:06:02.572660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a3afb8ac8eafabe7ce1b17e839bcf94c42718c3b3954502712f34cda251952a

Aliases

arxiv: 2605.20113 · arxiv_version: 2605.20113v1 · doi: 10.48550/arxiv.2605.20113 · pith_short_12: RI5PXCWI5L5L · pith_short_16: RI5PXCWI5L5L47HB · pith_short_8: RI5PXCWI

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/RI5PXCWI5L5L47HBWF7IHG6PST \
  | 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: 8a3afb8ac8eafabe7ce1b17e839bcf94c42718c3b3954502712f34cda251952a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8319a12d8d1b5ced458f7af0e154d6334f039b5fafba1553547cb04e6e8fc33c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "econ.TH",
    "submitted_at": "2026-05-19T17:00:23Z",
    "title_canon_sha256": "38a9cdefb1ef59ecab936d58041016116d2541f0219a2ad2d94f6a5eeb7b443d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20113",
    "kind": "arxiv",
    "version": 1
  }
}