Pith Number

pith:PKMQGA57

pith:2022:PKMQGA57VBJKFWXVCRKI3YUPSH

not attested not anchored not stored refs pending

Vehicle Routing with Stochastic Demands and Partial Reoptimization

Alexandre M. Florio, Dominique Feillet, Marcus Poggi, Thibaut Vidal

arxiv:2201.08866 v1 · 2022-01-21 · 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{PKMQGA57VBJKFWXVCRKI3YUPSH}

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	2026-07-05T04:01:09.069507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a990303bfa852a2daf514548de28f91d964f96dc2890f32c5b4bfd397c54e96

Aliases

arxiv: 2201.08866 · arxiv_version: 2201.08866v1 · doi: 10.48550/arxiv.2201.08866 · pith_short_12: PKMQGA57VBJK · pith_short_16: PKMQGA57VBJKFWXV · pith_short_8: PKMQGA57

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/PKMQGA57VBJKFWXVCRKI3YUPSH \
  | 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: 7a990303bfa852a2daf514548de28f91d964f96dc2890f32c5b4bfd397c54e96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3838ff4e85fe48ee0a4323a5d7e86721dd6e18658acdbb110d7c1c1586189ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-01-21T19:20:41Z",
    "title_canon_sha256": "163ae48d7bc7bfed39b0a4e863c3a96b5ab01d65da786e6c010ddd1e36b720cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.08866",
    "kind": "arxiv",
    "version": 1
  }
}