Pith Number

pith:J56PV3LF

pith:2015:J56PV3LF2VTWKIYGVLDHRQFHF7

not attested not anchored not stored refs pending

Impartial Redistricting: A Markov Chain Approach

Alan Frieze, Danny Sleator, David Miller, Jason Xiaotian Dou, Lucy Chenyun Wu

arxiv:1510.03247 v2 · 2015-10-12 · cs.CY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J56PV3LF2VTWKIYGVLDHRQFHF7}

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	2026-05-18T01:30:17.238629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f7cfaed65d567652306aac678c0a72fc3814bfba7d4d7e5eb86e17fbd89d773

Aliases

arxiv: 1510.03247 · arxiv_version: 1510.03247v2 · doi: 10.48550/arxiv.1510.03247 · pith_short_12: J56PV3LF2VTW · pith_short_16: J56PV3LF2VTWKIYG · pith_short_8: J56PV3LF

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/J56PV3LF2VTWKIYGVLDHRQFHF7 \
  | 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: 4f7cfaed65d567652306aac678c0a72fc3814bfba7d4d7e5eb86e17fbd89d773

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a8fe01ef8ab288ab828e4c9982e5bc11ef48d005d56dc3b6806704994e9a85e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CY",
    "submitted_at": "2015-10-12T12:11:51Z",
    "title_canon_sha256": "66e113e9c305b361ec83ee4e776b03459b8b999dbae416687ff7ca3c7c95548a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03247",
    "kind": "arxiv",
    "version": 2
  }
}