Pith Number

pith:ZXUQM3T5

pith:2017:ZXUQM3T5IJQOBTEBN5SG3K2KDS

not attested not anchored not stored refs pending

Cooperative Games with Bounded Dependency Degree

Ayumi Igarashi, Edith Elkind, Rani Izsak

arxiv:1711.07310 v3 · 2017-11-20 · 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{ZXUQM3T5IJQOBTEBN5SG3K2KDS}

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	2026-05-18T00:29:36.357294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cde9066e7d4260e0cc816f646dab4a1cbdb9de39f7c6346b3f2a1af20ed5c71d

Aliases

arxiv: 1711.07310 · arxiv_version: 1711.07310v3 · doi: 10.48550/arxiv.1711.07310 · pith_short_12: ZXUQM3T5IJQO · pith_short_16: ZXUQM3T5IJQOBTEB · pith_short_8: ZXUQM3T5

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/ZXUQM3T5IJQOBTEBN5SG3K2KDS \
  | 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: cde9066e7d4260e0cc816f646dab4a1cbdb9de39f7c6346b3f2a1af20ed5c71d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f54e91407ee03a7e11cf5bc3742ce00624d03dafaf7d0f181917b6903661bf4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2017-11-20T14:11:00Z",
    "title_canon_sha256": "3f877bd361c07ab569a4f7851d1785e7f8459fc37337c5d6e7941ede90a35d0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.07310",
    "kind": "arxiv",
    "version": 3
  }
}