Pith Number

pith:KDU3RCWG

pith:2021:KDU3RCWGIOMBT3H5PWTSAOTBJ4

not attested not anchored not stored refs pending

Fleet Sizing and Allocation for On-demand Last-Mile Transportation Systems

Hai Wang, Karmel S. Shehadeh, Peter Zhang

arxiv:2107.12523 v1 · 2021-07-27 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KDU3RCWGIOMBT3H5PWTSAOTBJ4}

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	2026-07-05T03:00:57.114243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50e9b88ac6439819ecfd7da7203a614f19a1b7c9d5b73084d7700fbb2a89e43e

Aliases

arxiv: 2107.12523 · arxiv_version: 2107.12523v1 · doi: 10.48550/arxiv.2107.12523 · pith_short_12: KDU3RCWGIOMB · pith_short_16: KDU3RCWGIOMBT3H5 · pith_short_8: KDU3RCWG

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/KDU3RCWGIOMBT3H5PWTSAOTBJ4 \
  | 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: 50e9b88ac6439819ecfd7da7203a614f19a1b7c9d5b73084d7700fbb2a89e43e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b05d9f2c9310e58e0d2477085114464e01ec987724b1b02b957cf6b7828e5d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-07-27T00:12:44Z",
    "title_canon_sha256": "b2e8ee4cca44668198c4a3faff8cf2371cc516f662bdf766144980004d513f29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.12523",
    "kind": "arxiv",
    "version": 1
  }
}