Pith Number

pith:HSLAZANJ

pith:2019:HSLAZANJQILQIAX6ALRXKQSY67

not attested not anchored not stored refs pending

Recombination: A family of Markov chains for redistricting

Daryl DeFord, Justin Solomon, Moon Duchin

arxiv:1911.05725 v1 · 2019-10-31 · cs.CY · 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{HSLAZANJQILQIAX6ALRXKQSY67}

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	2026-07-05T00:19:00.513019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c960c81a982170402fe02e3754258f7c3b2db3a72e2690222f3c1c07c08ce1f

Aliases

arxiv: 1911.05725 · arxiv_version: 1911.05725v1 · doi: 10.48550/arxiv.1911.05725 · pith_short_12: HSLAZANJQILQ · pith_short_16: HSLAZANJQILQIAX6 · pith_short_8: HSLAZANJ

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/HSLAZANJQILQIAX6ALRXKQSY67 \
  | 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: 3c960c81a982170402fe02e3754258f7c3b2db3a72e2690222f3c1c07c08ce1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99e5cad7186c9da4916d261bb76fba800cffda7c16513fcf82fd4153e212aee6",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CY",
    "submitted_at": "2019-10-31T23:28:39Z",
    "title_canon_sha256": "8ba5c090f138d0801b6c3bac00e9b3947dbe63350d49216c8d176d89aba2f858"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.05725",
    "kind": "arxiv",
    "version": 1
  }
}