Pith Number

pith:V42A4T7Q

pith:2024:V42A4T7QT4QMTDIQVMJJHSSHTD

not attested not anchored not stored refs pending

Multimodal urban transportation network equilibrium including intermodality and shared mobility services

Khadidja Kadem, Latifa Oukhellou, Mahdi Zargayouna, Mostafa Ameli

arxiv:2402.00735 v5 · 2024-02-01 · 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{V42A4T7QT4QMTDIQVMJJHSSHTD}

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	2026-06-25T01:17:42.619624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af340e4ff09f20c98d10ab1293ca4798fb9421f175b92edbe0fc62e68eb46cba

Aliases

arxiv: 2402.00735 · arxiv_version: 2402.00735v5 · doi: 10.48550/arxiv.2402.00735 · pith_short_12: V42A4T7QT4QM · pith_short_16: V42A4T7QT4QMTDIQ · pith_short_8: V42A4T7Q

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/V42A4T7QT4QMTDIQVMJJHSSHTD \
  | 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: af340e4ff09f20c98d10ab1293ca4798fb9421f175b92edbe0fc62e68eb46cba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15f1313a5485588008f248ff8e6a59088da675036874d672be5daf1b6ead3aee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-02-01T16:33:06Z",
    "title_canon_sha256": "914bc3f1bc5e0a776b2f5006c2fa953e82d82b31628f97f6ff7659c5e2c4cfbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.00735",
    "kind": "arxiv",
    "version": 5
  }
}