Pith Number

pith:SOAPO3UA

pith:2019:SOAPO3UAZLOEAMXC6N66IOVZ2B

not attested not anchored not stored refs pending

The Gerrymandering Jumble: Map Projections Permute Districts' Compactness Scores

Assaf Bar-Natan, Elle Najt, Zachary Schutzman

arxiv:1905.03173 v2 · 2019-05-01 · physics.soc-ph · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SOAPO3UAZLOEAMXC6N66IOVZ2B}

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.

Cited by

1 paper in Pith

Complexity and Geometry of Sampling Connected Graph Partitions

Receipt and verification

First computed	2026-07-05T03:54:53.222909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9380f76e80cadc4032e2f37de43ab9d0463659a47a34d8db83d8efb551bb2906

Aliases

arxiv: 1905.03173 · arxiv_version: 1905.03173v2 · doi: 10.48550/arxiv.1905.03173 · pith_short_12: SOAPO3UAZLOE · pith_short_16: SOAPO3UAZLOEAMXC · pith_short_8: SOAPO3UA

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/SOAPO3UAZLOEAMXC6N66IOVZ2B \
  | 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: 9380f76e80cadc4032e2f37de43ab9d0463659a47a34d8db83d8efb551bb2906

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aca3c69a04e0bba31bb0357bfbf3be374714ac630155e5e011446cd0da52fec4",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2019-05-01T13:37:04Z",
    "title_canon_sha256": "7bdb178a8f5c7790dd551437f3d69c3bdc66156989fda22f7304b0788f50bc53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.03173",
    "kind": "arxiv",
    "version": 2
  }
}