Pith Number

pith:CPYQIVEQ

pith:2017:CPYQIVEQPIWRZSXRM7BPWSSBNI

not attested not anchored not stored refs pending

Partisan gerrymandering with geographically compact districts

Boris Alexeev, Dustin G. Mixon

arxiv:1712.05390 v1 · 2017-12-14 · math.CO · math.MG · math.PR · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CPYQIVEQPIWRZSXRM7BPWSSBNI}

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	2026-05-17T23:41:13.347451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13f10454907a2d1ccaf167c2fb4a416a3bb15e40343ab7dd36a1b5b887c87ea2

Aliases

arxiv: 1712.05390 · arxiv_version: 1712.05390v1 · doi: 10.48550/arxiv.1712.05390 · pith_short_12: CPYQIVEQPIWR · pith_short_16: CPYQIVEQPIWRZSXR · pith_short_8: CPYQIVEQ

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/CPYQIVEQPIWRZSXRM7BPWSSBNI \
  | 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: 13f10454907a2d1ccaf167c2fb4a416a3bb15e40343ab7dd36a1b5b887c87ea2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "774e79c30ca41d57afdd220170bb067c25a898262e01225d0ffadd4df125418e",
    "cross_cats_sorted": [
      "math.MG",
      "math.PR",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-14T18:44:28Z",
    "title_canon_sha256": "eaa5dad1a376901959d49878231a2dd4547e0497d2b3009da097874bedee2e14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.05390",
    "kind": "arxiv",
    "version": 1
  }
}