Pith Number

pith:4YK2HRC7

pith:2017:4YK2HRC72MJ36VWE4EXKLLY6ZY

not attested not anchored not stored refs pending

Redistricting: Drawing the Line

Christy Vaughn Graves, Gregory Herschlag, Han Sung Kang, Jonathan C. Mattingly, Justin Luo, Robert Ravier, Sachet Bangia

arxiv:1704.03360 v2 · 2017-04-09 · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YK2HRC72MJ36VWE4EXKLLY6ZY}

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	2026-05-18T00:44:56.975397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e615a3c45fd313bf56c4e12ea5af1ece3766cb6dddc01354584415535b70bcd9

Aliases

arxiv: 1704.03360 · arxiv_version: 1704.03360v2 · doi: 10.48550/arxiv.1704.03360 · pith_short_12: 4YK2HRC72MJ3 · pith_short_16: 4YK2HRC72MJ36VWE · pith_short_8: 4YK2HRC7

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/4YK2HRC72MJ36VWE4EXKLLY6ZY \
  | 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: e615a3c45fd313bf56c4e12ea5af1ece3766cb6dddc01354584415535b70bcd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c0f2cf46e8783990213577e613f2a7c25995daed6a8d8b9595d4f44f6deb765",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.AP",
    "submitted_at": "2017-04-09T13:48:50Z",
    "title_canon_sha256": "51a4c1d193135264de9772c0fdbadc944ac610c5b89fdf688c75b1e29421a0c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.03360",
    "kind": "arxiv",
    "version": 2
  }
}