Pith Number

pith:NPDUCS2R

pith:2017:NPDUCS2R2AIEON7RB4DZFXK553

not attested not anchored not stored refs pending

The Expanding Approvals Rule: Improving Proportional Representation and Monotonicity

Barton Lee, Haris Aziz

arxiv:1708.07580 v2 · 2017-08-25 · cs.GT · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NPDUCS2R2AIEON7RB4DZFXK553}

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	2026-05-18T00:14:22.354763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bc7414b51d0104737f10f0792dd5deefa90e5ac3fd11121cefdde1f74e59894

Aliases

arxiv: 1708.07580 · arxiv_version: 1708.07580v2 · doi: 10.48550/arxiv.1708.07580 · pith_short_12: NPDUCS2R2AIE · pith_short_16: NPDUCS2R2AIEON7R · pith_short_8: NPDUCS2R

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/NPDUCS2R2AIEON7RB4DZFXK553 \
  | 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: 6bc7414b51d0104737f10f0792dd5deefa90e5ac3fd11121cefdde1f74e59894

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f74c01b035548916428271429a15fda895875e972895633b6614f39fcd69d6a8",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2017-08-25T00:10:43Z",
    "title_canon_sha256": "6f6ac090ef2dc21f7539cedea296ca0906795a369a3dcf64943d619aeca7982f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07580",
    "kind": "arxiv",
    "version": 2
  }
}