Pith Number

pith:VKH3FPQ3

pith:2021:VKH3FPQ3JQSWZ5ZHPQZTXZBUSS

not attested not anchored not stored refs pending

Ridesharing and Fleet Sizing For On-Demand Multimodal Transit Systems

Pascal Van Hentenryck, Ramon Auad

arxiv:2101.10981 v2 · 2021-01-26 · 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{VKH3FPQ3JQSWZ5ZHPQZTXZBUSS}

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	2026-07-05T03:52:25.653932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa8fb2be1b4c256cf7277c333be43494bee0112ab40bad7b0bd9b4904bf3d3c4

Aliases

arxiv: 2101.10981 · arxiv_version: 2101.10981v2 · doi: 10.48550/arxiv.2101.10981 · pith_short_12: VKH3FPQ3JQSW · pith_short_16: VKH3FPQ3JQSWZ5ZH · pith_short_8: VKH3FPQ3

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/VKH3FPQ3JQSWZ5ZHPQZTXZBUSS \
  | 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: aa8fb2be1b4c256cf7277c333be43494bee0112ab40bad7b0bd9b4904bf3d3c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff20a01548b31aa44ddb17094d8037f8108a2252e4d9b43dbaea02a0a0181a51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-01-26T18:13:48Z",
    "title_canon_sha256": "872dfbc6e8a332879e621722232fad1cc02e3365c6591cd8d0a6be56cc4dae60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.10981",
    "kind": "arxiv",
    "version": 2
  }
}