Pith Number

pith:O22Y5YDP

pith:2024:O22Y5YDP7Q6WNETPLKU6KTXPRH

not attested not anchored not stored refs pending

Cardinal-Utility Matching Markets: The Quest for Envy-Freeness, Pareto-Optimality, and Efficient Computability

Thorben Tr\"obst, Vijay V. Vazirani

arxiv:2402.08851 v6 · 2024-02-13 · 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{O22Y5YDP7Q6WNETPLKU6KTXPRH}

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

Hardness of Approximate Hylland-Zeckhauser Equilibria

Receipt and verification

First computed	2026-07-05T09:56:34.957619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76b58ee06ffc3d66926f5aa9e54eef89e1c42a832b3fcabde8f1116923699e04

Aliases

arxiv: 2402.08851 · arxiv_version: 2402.08851v6 · doi: 10.48550/arxiv.2402.08851 · pith_short_12: O22Y5YDP7Q6W · pith_short_16: O22Y5YDP7Q6WNETP · pith_short_8: O22Y5YDP

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/O22Y5YDP7Q6WNETPLKU6KTXPRH \
  | 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: 76b58ee06ffc3d66926f5aa9e54eef89e1c42a832b3fcabde8f1116923699e04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49efd0d38cfac6a6d51b47404934b59af8654cdd7ec4523b3e5c6e892a8b5ec5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2024-02-13T23:37:53Z",
    "title_canon_sha256": "e1cc906649213f3945095fe1aee62dca6822162cef477de47a1b7c7c5b31ad68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.08851",
    "kind": "arxiv",
    "version": 6
  }
}