Pith Number

pith:RVLQ7IHX

pith:2026:RVLQ7IHX3C4KU7ESRRORFFFXEM

not attested not anchored not stored refs pending

Line Planning at Scale: Models, Methods and Insights

Bart van Rossum, Rolf van Lieshout

arxiv:2606.24386 v1 · 2026-06-23 · 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{RVLQ7IHX3C4KU7ESRRORFFFXEM}

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	2026-06-24T01:15:29.212629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d570fa0f7d8b8aa7c928c5d1294b7233af7eeb12cd3826fd38f8c9f56535b71

Aliases

arxiv: 2606.24386 · arxiv_version: 2606.24386v1 · doi: 10.48550/arxiv.2606.24386 · pith_short_12: RVLQ7IHX3C4K · pith_short_16: RVLQ7IHX3C4KU7ES · pith_short_8: RVLQ7IHX

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/RVLQ7IHX3C4KU7ESRRORFFFXEM \
  | 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: 8d570fa0f7d8b8aa7c928c5d1294b7233af7eeb12cd3826fd38f8c9f56535b71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd73e37dc7a7b3f7b9894d409f3f71dbd9132277dc9dc6ee0e6484f0d649b453",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-23T10:18:54Z",
    "title_canon_sha256": "a0fda5829817af4e26450ec0fd1cde347605254a05dd686c2cb50aa050b2e66d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24386",
    "kind": "arxiv",
    "version": 1
  }
}