Pith Number

pith:4U2RZZ34

pith:2021:4U2RZZ34KASOXBP4VQ4AQ2NW2T

not attested not anchored not stored refs pending

Tractable Fragments of the Maximum Nash Welfare Problem

Aniket Murhekar, Edin Husi\'c, Jugal Garg, L\'aszl\'o V\'egh

arxiv:2112.10199 v2 · 2021-12-19 · 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{4U2RZZ34KASOXBP4VQ4AQ2NW2T}

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.

Cited by

1 paper in Pith

Some Improved Results on Fair and Balanced Graph Partitions

Receipt and verification

First computed	2026-07-05T04:18:50.131028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5351ce77c5024eb85fcac380869b6d4cddf3e4f9a31e2f1e864e37db93a08ac

Aliases

arxiv: 2112.10199 · arxiv_version: 2112.10199v2 · doi: 10.48550/arxiv.2112.10199 · pith_short_12: 4U2RZZ34KASO · pith_short_16: 4U2RZZ34KASOXBP4 · pith_short_8: 4U2RZZ34

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/4U2RZZ34KASOXBP4VQ4AQ2NW2T \
  | 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: e5351ce77c5024eb85fcac380869b6d4cddf3e4f9a31e2f1e864e37db93a08ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0f311afc0a744ee98e624948dadafcc5664b16dad3b5c9a379c10695e6128fb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2021-12-19T17:16:03Z",
    "title_canon_sha256": "cb4118726149d4297fc9c3ae8fa07178b283b1b9224d744608e518544ca1f900"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.10199",
    "kind": "arxiv",
    "version": 2
  }
}