Pith Number

pith:MUCVTUKS

pith:2015:MUCVTUKS3EGXOHDUCOZGNNXN3F

not attested not anchored not stored refs pending

Learning Cooperative Games

Ariel D. Procaccia, Maria-Florina Balcan, Yair Zick

arxiv:1505.00039 v2 · 2015-04-30 · 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{MUCVTUKS3EGXOHDUCOZGNNXN3F}

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	2026-05-18T01:02:57.024809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

650559d152d90d771c7413b266b6edd974a53e5afc5bac78a80e5ece0341bdb6

Aliases

arxiv: 1505.00039 · arxiv_version: 1505.00039v2 · doi: 10.48550/arxiv.1505.00039 · pith_short_12: MUCVTUKS3EGX · pith_short_16: MUCVTUKS3EGXOHDU · pith_short_8: MUCVTUKS

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/MUCVTUKS3EGXOHDUCOZGNNXN3F \
  | 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: 650559d152d90d771c7413b266b6edd974a53e5afc5bac78a80e5ece0341bdb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aec9330876c98ff95b584cb6e63036ef5c1fd7f6744dc55e317538b768978223",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2015-04-30T21:36:55Z",
    "title_canon_sha256": "28d12b85f2e0d662efe89226752a3ba48bc02bb098e93b0516be4a221939a18b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00039",
    "kind": "arxiv",
    "version": 2
  }
}