Pith Number

pith:VCNYCVIG

pith:2021:VCNYCVIGKZWVPTFYTKMCLTXOUF

not attested not anchored not stored refs pending

Subgroup Fairness in Two-Sided Markets

Jakub Marecek, Quan Zhou, Robert N. Shorten

arxiv:2106.02702 v2 · 2021-06-04 · cs.AI · cs.GT · cs.LG · cs.SY · eess.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCNYCVIGKZWVPTFYTKMCLTXOUF}

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	2026-07-05T06:51:16.354353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a89b815506566d57ccb89a9825ceeea17e1d788085e6ab3541cff8ea638014c5

Aliases

arxiv: 2106.02702 · arxiv_version: 2106.02702v2 · doi: 10.48550/arxiv.2106.02702 · pith_short_12: VCNYCVIGKZWV · pith_short_16: VCNYCVIGKZWVPTFY · pith_short_8: VCNYCVIG

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/VCNYCVIGKZWVPTFYTKMCLTXOUF \
  | 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: a89b815506566d57ccb89a9825ceeea17e1d788085e6ab3541cff8ea638014c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62f961033326ca51de5cc3deeb70c0bf7aceccc25130bb8657c18b9516fc38d8",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.LG",
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2021-06-04T20:26:16Z",
    "title_canon_sha256": "c91c5d73d3f2ff11e4733d9a92b97fdc38660a024fd3f50128d0c894002ce0fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.02702",
    "kind": "arxiv",
    "version": 2
  }
}