Pith Number

pith:D7BZ23EO

pith:2021:D7BZ23EOHM2EKFJ6XYKRG3X454

not attested not anchored not stored refs pending

Combatting Gerrymandering with Ranked Choice Voting: An Experimental Analysis of Multi-member Districts in the United States

David Rothschild, David Shmoys, Nikhil Garg, Wes Gurnee

arxiv:2107.07083 v6 · 2021-07-15 · 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{D7BZ23EOHM2EKFJ6XYKRG3X454}

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	2026-06-02T01:03:27.596273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fc39d6c8e3b3445153ebe15136efcef07f2723e7fa7ae61f0e8d742fe19f93d

Aliases

arxiv: 2107.07083 · arxiv_version: 2107.07083v6 · doi: 10.48550/arxiv.2107.07083 · pith_short_12: D7BZ23EOHM2E · pith_short_16: D7BZ23EOHM2EKFJ6 · pith_short_8: D7BZ23EO

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/D7BZ23EOHM2EKFJ6XYKRG3X454 \
  | 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: 1fc39d6c8e3b3445153ebe15136efcef07f2723e7fa7ae61f0e8d742fe19f93d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "444d7b71b92a4645fbc60e3d6093578d68c0521e75e27f744d9f430d823e2a4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2021-07-15T02:29:46Z",
    "title_canon_sha256": "3befbe89cd052ca0fbc1e64a0ac41935a452fc9d70bdc2972eb3b4a6f4c8cc94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.07083",
    "kind": "arxiv",
    "version": 6
  }
}