Pith Number

pith:4IOI4XEI

pith:2021:4IOI4XEI4A2FMBEUGW2WZR2L75

not attested not anchored not stored refs pending

1-convex extensions of incomplete cooperative games and the average value

Jan Bok, Martin \v{C}ern\'y

arxiv:2107.04679 v2 · 2021-07-09 · 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{4IOI4XEI4A2FMBEUGW2WZR2L75}

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	2026-07-05T07:22:11.240387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e21c8e5c88e03456049435b56cc74bff61d802b4e4fd7aba6eff9d25354df100

Aliases

arxiv: 2107.04679 · arxiv_version: 2107.04679v2 · doi: 10.48550/arxiv.2107.04679 · pith_short_12: 4IOI4XEI4A2F · pith_short_16: 4IOI4XEI4A2FMBEU · pith_short_8: 4IOI4XEI

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/4IOI4XEI4A2FMBEUGW2WZR2L75 \
  | 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: e21c8e5c88e03456049435b56cc74bff61d802b4e4fd7aba6eff9d25354df100

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc7ea399528d1aee3542740af981ff13a16c113fe4a761f8214a6629ee9378fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2021-07-09T21:04:47Z",
    "title_canon_sha256": "544f1ae48e37864662c3f1f008b5fd43fe4aee698de59fc9f4d39a6dc82d8b4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.04679",
    "kind": "arxiv",
    "version": 2
  }
}