Pith Number

pith:HE3QEHSY

pith:2026:HE3QEHSY6V3DSGIJ7CW5RMXX5W

not attested not anchored not stored refs pending

Complexity of Strong Popularity in Additively Separable Hedonic Games

Matan Gilboa

arxiv:2607.27277 v1 · 2026-07-29 · cs.GT · cs.CC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HE3QEHSY6V3DSGIJ7CW5RMXX5W}

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	2026-07-31T00:10:29.125325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

3937021e58f576391909f8add8b2f7eda9bd20ada70b45f0c7e4a7db3bd90709

Aliases

arxiv: 2607.27277 · arxiv_version: 2607.27277v1 · doi: 10.48550/arxiv.2607.27277 · pith_short_12: HE3QEHSY6V3D · pith_short_16: HE3QEHSY6V3DSGIJ · pith_short_8: HE3QEHSY

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/HE3QEHSY6V3DSGIJ7CW5RMXX5W \
  | 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: 3937021e58f576391909f8add8b2f7eda9bd20ada70b45f0c7e4a7db3bd90709

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0029b93d68f9634267fc4433775084f92903979e31d72388ddaee81c2a2e4e3",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-07-29T12:59:05Z",
    "title_canon_sha256": "08a166bb8d1eb50b319c7b8354422c4ad198c7468052001b56ffa62cbf81011f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27277",
    "kind": "arxiv",
    "version": 1
  }
}