Pith Number

pith:A5Z2YML7

pith:2026:A5Z2YML72UDJPS2VR7SDMKR3HX

not attested not anchored not stored refs pending

An ALNS Heuristic for Large-Scale Line Planning with Mode Choice and Line Generation

Otto Anker Nielsen, Richard Martin Lusby, Rowan Hoogervorst, Siv Marie Cartland Hansen

arxiv:2607.13263 v1 · 2026-07-14 · 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{A5Z2YML72UDJPS2VR7SDMKR3HX}

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	2026-07-16T00:22:06.516069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0773ac317fd50697cb558fe4362a3b3de5e6ec7b9a47189ef908ed7cf941c081

Aliases

arxiv: 2607.13263 · arxiv_version: 2607.13263v1 · doi: 10.48550/arxiv.2607.13263 · pith_short_12: A5Z2YML72UDJ · pith_short_16: A5Z2YML72UDJPS2V · pith_short_8: A5Z2YML7

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/A5Z2YML72UDJPS2VR7SDMKR3HX \
  | 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: 0773ac317fd50697cb558fe4362a3b3de5e6ec7b9a47189ef908ed7cf941c081

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee3b43141c55032dd13c8d8867fa9d6ee2f56fa7ea2d3a36bbeb78be368c3542",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-14T20:55:51Z",
    "title_canon_sha256": "1b49eb8995d686379c7f2c1ae4f9655f0a9589b0bd1dd2d179554ccb82331742"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13263",
    "kind": "arxiv",
    "version": 1
  }
}