Pith Number

pith:B6MHEUYB

pith:2022:B6MHEUYB63ZGDS2KOJZG7BUXUJ

not attested not anchored not stored refs pending

Multi-purpose Pickup and Delivery Problem for Combined Passenger and Freight Transport

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

arxiv:2210.05700 v1 · 2022-10-11 · 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{B6MHEUYB63ZGDS2KOJZG7BUXUJ}

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	2026-07-05T05:05:51.909353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f98725301f6f261cb4a72726f8697a24d04804e3a3ff0bf394283013427a5d0

Aliases

arxiv: 2210.05700 · arxiv_version: 2210.05700v1 · doi: 10.48550/arxiv.2210.05700 · pith_short_12: B6MHEUYB63ZG · pith_short_16: B6MHEUYB63ZGDS2K · pith_short_8: B6MHEUYB

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/B6MHEUYB63ZGDS2KOJZG7BUXUJ \
  | 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: 0f98725301f6f261cb4a72726f8697a24d04804e3a3ff0bf394283013427a5d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "039269062b09ebea7059a1844be2edf62015447fb1332c068f0e54a114f313a2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-10-11T18:01:44Z",
    "title_canon_sha256": "55e7889648f8b97b62eca55fb5a64bd114d9d348422ca15be294024d09f7c09a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.05700",
    "kind": "arxiv",
    "version": 1
  }
}