Pith Number

pith:M4ZWJVGW

pith:2024:M4ZWJVGWWRSDPUBAUSUOMRM3GA

not attested not anchored not stored refs pending

Multi-period railway line planning for integrated passenger-freight transportation

Dezhi Zhang, Rolf N. van Lieshout, Tom Van Woensel, Wanru Chen

arxiv:2409.08256 v1 · 2024-09-12 · 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{M4ZWJVGWWRSDPUBAUSUOMRM3GA}

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	2026-07-05T09:06:22.333448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

673364d4d6b46437d020a4a8e6459b3008453ad2e56e917c8f5992492702e0b1

Aliases

arxiv: 2409.08256 · arxiv_version: 2409.08256v1 · doi: 10.48550/arxiv.2409.08256 · pith_short_12: M4ZWJVGWWRSD · pith_short_16: M4ZWJVGWWRSDPUBA · pith_short_8: M4ZWJVGW

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/M4ZWJVGWWRSDPUBAUSUOMRM3GA \
  | 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: 673364d4d6b46437d020a4a8e6459b3008453ad2e56e917c8f5992492702e0b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "936254c3e18c11c829415800aacfe0caf7b093a263da1a0380914b77f5de8762",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-09-12T17:52:13Z",
    "title_canon_sha256": "f63ac266fc5c2d1be685ab16ca5b02e152f1c6755c6d9708ce6aae0adabc3e61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.08256",
    "kind": "arxiv",
    "version": 1
  }
}