Pith Number

pith:MM72S4BO

pith:2026:MM72S4BONN7SMBZGFW7JJE4SIH

not attested not anchored not stored refs pending

Best-of-Both-Worlds Fairness for Mixed Goods and Chores

Biaoshuai Tao, Haris Aziz, Mashbat Suzuki, Simon Mackenzie, Toby Walsh, Xiaolin Bu, Xinhang Lu

arxiv:2607.10232 v1 · 2026-07-11 · 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{MM72S4BONN7SMBZGFW7JJE4SIH}

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	2026-07-14T01:20:31.895130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

633fa9702e6b7f2607262dbe94939241e1401a8b3dcb907fc7b37b45940ca8be

Aliases

arxiv: 2607.10232 · arxiv_version: 2607.10232v1 · doi: 10.48550/arxiv.2607.10232 · pith_short_12: MM72S4BONN7S · pith_short_16: MM72S4BONN7SMBZG · pith_short_8: MM72S4BO

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/MM72S4BONN7SMBZGFW7JJE4SIH \
  | 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: 633fa9702e6b7f2607262dbe94939241e1401a8b3dcb907fc7b37b45940ca8be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a057fcb19afea93c2bc20b548d78a5f5c73a62079de04f922dcb8c4d2fbb1785",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-07-11T09:44:19Z",
    "title_canon_sha256": "7d293e22db219096a953c712b3a3a923317887b18559c56bc5501602166bc9a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10232",
    "kind": "arxiv",
    "version": 1
  }
}