Pith Number

pith:KUNGZLQT

pith:2026:KUNGZLQTQURRU4DOAVOOI5PWYE

not attested not anchored not stored refs pending

Branch and Price for Railway Crew Scheduling: Benchmark Instances and Computational Study

Bart van Rossum

arxiv:2606.10081 v1 · 2026-06-08 · 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{KUNGZLQTQURRU4DOAVOOI5PWYE}

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	2026-06-10T00:08:48.331363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

551a6cae1385231a706e055ce475f6c1296c9b499d9041848d48ce04409bdb4c

Aliases

arxiv: 2606.10081 · arxiv_version: 2606.10081v1 · doi: 10.48550/arxiv.2606.10081 · pith_short_12: KUNGZLQTQURR · pith_short_16: KUNGZLQTQURRU4DO · pith_short_8: KUNGZLQT

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/KUNGZLQTQURRU4DOAVOOI5PWYE \
  | 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: 551a6cae1385231a706e055ce475f6c1296c9b499d9041848d48ce04409bdb4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f63a2b5d306c62a293f39a0d62165fc2f4feb739b810a1ee9b1d20ff7a9d6ac9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-08T19:04:31Z",
    "title_canon_sha256": "63e43e2b7d8c849629cb1bea5261120d660c2ca22566e9f974dd79f1c2c16ab7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10081",
    "kind": "arxiv",
    "version": 1
  }
}