Pith Number

pith:OG3ABVOG

pith:2024:OG3ABVOG4WQPRXOVDRQG6EZL2B

not attested not anchored not stored refs pending

Expected value and a Cayley-Menger type formula for the generalized earth mover's distance

William Q. Erickson

arxiv:2406.07972 v2 · 2024-06-12 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OG3ABVOG4WQPRXOVDRQG6EZL2B}

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.

Cited by

1 paper in Pith

Approximation Models for Shared Mobility Rebalancing Under Structured Spatial Imbalance

Receipt and verification

First computed	2026-07-05T09:47:21.831339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71b600d5c6e5a0f8ddd51c606f132bd059a9984ab4bb1a41b45da6ec34bd6526

Aliases

arxiv: 2406.07972 · arxiv_version: 2406.07972v2 · doi: 10.48550/arxiv.2406.07972 · pith_short_12: OG3ABVOG4WQP · pith_short_16: OG3ABVOG4WQPRXOV · pith_short_8: OG3ABVOG

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/OG3ABVOG4WQPRXOVDRQG6EZL2B \
  | 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: 71b600d5c6e5a0f8ddd51c606f132bd059a9984ab4bb1a41b45da6ec34bd6526

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58d23ff30bef8720ab6d39ae9feb60a08e97a3175910bed2d7fb0c00cf67d546",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2024-06-12T07:54:14Z",
    "title_canon_sha256": "6dbeccd031cc9baa86b45fea766573408c62a4602256cb38991b82991cd743f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.07972",
    "kind": "arxiv",
    "version": 2
  }
}