Pith Number

pith:VELC3NZO

pith:2025:VELC3NZOL6UBFAE2JAS6LQPGDC

not attested not anchored not stored refs pending

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting

Daryl R. DeFord, Gregory Herschlag, Jonathan C. Mattingly

arxiv:2509.08629 v2 · 2025-09-10 · cs.SI · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VELC3NZOL6UBFAE2JAS6LQPGDC}

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	2026-06-19T16:12:14.998681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9162db72e5fa812809a4825e5c1e618bbc6f4d4d3f44978506760ee4496b3de

Aliases

arxiv: 2509.08629 · arxiv_version: 2509.08629v2 · doi: 10.48550/arxiv.2509.08629 · pith_short_12: VELC3NZOL6UB · pith_short_16: VELC3NZOL6UBFAE2 · pith_short_8: VELC3NZO

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/VELC3NZOL6UBFAE2JAS6LQPGDC \
  | 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: a9162db72e5fa812809a4825e5c1e618bbc6f4d4d3f44978506760ee4496b3de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e88007d2f5a385e11d920f95352cd6017d1dcdb766cf9209afe1ff8e942ad68",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2025-09-10T14:24:29Z",
    "title_canon_sha256": "4151fefff1f149fd01975fffcaf2b315f34d2b39eb68566f25577dc3dcd9c2eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.08629",
    "kind": "arxiv",
    "version": 2
  }
}