Pith Number

pith:4JQP2MVB

pith:2026:4JQP2MVBF7OLWJFUVCH6WPYCMQ

not attested not anchored not stored refs pending

Predict-then-Optimize Framework for Public Transport Line Redesign under Fluctuating Traffic Conditions

Andrea Araldo, Faycal Touzout, Mounim El-Yacoubi, Zihao Guo

arxiv:2608.11405 v1 · 2026-08-11 · 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{4JQP2MVBF7OLWJFUVCH6WPYCMQ}

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	2026-08-13T00:21:47.199606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e260fd32a12fdcbb24b4a88feb3f02640feec455543e8fef96b0f702d17236b4

Aliases

arxiv: 2608.11405 · arxiv_version: 2608.11405v1 · doi: 10.48550/arxiv.2608.11405 · pith_short_12: 4JQP2MVBF7OL · pith_short_16: 4JQP2MVBF7OLWJFU · pith_short_8: 4JQP2MVB

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/4JQP2MVBF7OLWJFUVCH6WPYCMQ \
  | 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: e260fd32a12fdcbb24b4a88feb3f02640feec455543e8fef96b0f702d17236b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52fb003aeee5400ee27d203d12ce98092c6ef31800b2c132cccd3de77a246e71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-08-11T20:10:28Z",
    "title_canon_sha256": "7719708190eea1478591d7496e3e23a446b18a674cf12cbc4af5d063bcb66226"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.11405",
    "kind": "arxiv",
    "version": 1
  }
}