Pith Number

pith:2XROR5EX

pith:2025:2XROR5EXZ3NWEUQ5NE5RPOF6OI

not attested not anchored not stored refs pending

Recovering Fairness Directly from Modularity: a New Way for Fair Community Partitioning

Ismail Ben Ayed, Jing Yuan, Tianqing Zhu, Yiguang Bai, Yufeng Wang

arxiv:2505.22684 v1 · 2025-05-27 · cs.SI · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2XROR5EXZ3NWEUQ5NE5RPOF6OI}

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	2026-07-05T11:11:48.568898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5e2e8f497cedb62521d693b17b8be722521e16c51c15dedbfe07154313f33f5

Aliases

arxiv: 2505.22684 · arxiv_version: 2505.22684v1 · doi: 10.48550/arxiv.2505.22684 · pith_short_12: 2XROR5EXZ3NW · pith_short_16: 2XROR5EXZ3NWEUQ5 · pith_short_8: 2XROR5EX

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/2XROR5EXZ3NWEUQ5NE5RPOF6OI \
  | 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: d5e2e8f497cedb62521d693b17b8be722521e16c51c15dedbfe07154313f33f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa1afa577fb49fb9c5276213363923a13c94c2c8d52bc0a8ca7473c82df76260",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2025-05-27T09:44:07Z",
    "title_canon_sha256": "94cae15b7b08b54bf3a2ca7a9d13af069d6e15d64ce6a83ec4377caff4212225"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22684",
    "kind": "arxiv",
    "version": 1
  }
}