Pith Number

pith:DFKS2D4F

pith:2022:DFKS2D4FTVN2PEYV46BKCO4R2F

not attested not anchored not stored refs pending

A Unified Framework for Analyzing and Optimizing a Class of Convex Fairness Measures

Karmel S. Shehadeh, Man Yiu Tsang

arxiv:2211.13427 v4 · 2022-11-24 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DFKS2D4FTVN2PEYV46BKCO4R2F}

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	2026-07-05T10:06:36.784354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19552d0f859d5ba79315e782a13b91d155387961727b7a9ae432b53a1bbb198a

Aliases

arxiv: 2211.13427 · arxiv_version: 2211.13427v4 · doi: 10.48550/arxiv.2211.13427 · pith_short_12: DFKS2D4FTVN2 · pith_short_16: DFKS2D4FTVN2PEYV · pith_short_8: DFKS2D4F

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/DFKS2D4FTVN2PEYV46BKCO4R2F \
  | 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: 19552d0f859d5ba79315e782a13b91d155387961727b7a9ae432b53a1bbb198a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9df29385f271c521ef063350527398802a1b2e6553b4479156ab5b63edb5969",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-11-24T05:53:11Z",
    "title_canon_sha256": "92d82e1ec1d529139c70db3150d6be6741fc4e47c07867c29b1cdd512f8420c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.13427",
    "kind": "arxiv",
    "version": 4
  }
}