Pith Number

pith:66SOV64J

pith:2020:66SOV64J5MXTS6DJPWKNT5LZFQ

not attested not anchored not stored refs pending

Multi-Scale Merge-Split Markov Chain Monte Carlo for Redistricting

Daniel Carter, Eric A. Autry, Gregory Herschlag, Jonathan C. Mattingly, Zach Hunter

arxiv:2008.08054 v1 · 2020-08-18 · math.PR · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{66SOV64J5MXTS6DJPWKNT5LZFQ}

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	2026-07-05T01:27:58.315398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7a4eafb89eb2f3978697d94d9f5792c13966f7895b100cad6233ae8230d1929

Aliases

arxiv: 2008.08054 · arxiv_version: 2008.08054v1 · doi: 10.48550/arxiv.2008.08054 · pith_short_12: 66SOV64J5MXT · pith_short_16: 66SOV64J5MXTS6DJ · pith_short_8: 66SOV64J

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/66SOV64J5MXTS6DJPWKNT5LZFQ \
  | 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: f7a4eafb89eb2f3978697d94d9f5792c13966f7895b100cad6233ae8230d1929

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e20f4a6aadec65ddc5bbf1fe235e51e18b38062be3e7d260e83c669313162e35",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-08-18T17:34:55Z",
    "title_canon_sha256": "4ef21a6af7ab6d3cdb83e4ec88f51fdcf8d8b95a51dd7f5d3d0df1cf530a265a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.08054",
    "kind": "arxiv",
    "version": 1
  }
}