Pith Number

pith:UKPUADO6

pith:2022:UKPUADO6MLBP56AQQSWLJC7K4C

not attested not anchored not stored refs pending

Modular Vehicle Routing for Combined Passenger and Freight Transport

Erik Jenelius, Gy\H{o}z\H{o} Gid\'ofalvi, Jonas Hatzenb\"uhler, Oded Cats

arxiv:2209.01461 v1 · 2022-09-03 · math.OC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UKPUADO6MLBP56AQQSWLJC7K4C}

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	2026-07-05T06:06:54.253812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a29f400dde62c2fef81084acb48beae0849183ead50a5acb4e402af5bfabf371

Aliases

arxiv: 2209.01461 · arxiv_version: 2209.01461v1 · doi: 10.48550/arxiv.2209.01461 · pith_short_12: UKPUADO6MLBP · pith_short_16: UKPUADO6MLBP56AQ · pith_short_8: UKPUADO6

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/UKPUADO6MLBP56AQQSWLJC7K4C \
  | 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: a29f400dde62c2fef81084acb48beae0849183ead50a5acb4e402af5bfabf371

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0592128229e08c2f06344e582ce705b4b29018c63bbfd198cd38166b2484c265",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-09-03T16:39:25Z",
    "title_canon_sha256": "a6c14ebda2d6d71bd5fd91ff0f893e4a838cde2468814dabd69bfca10ce7e648"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.01461",
    "kind": "arxiv",
    "version": 1
  }
}