Pith Number

pith:6CP4IVCU

pith:2022:6CP4IVCUQOZV7QRV3XXXIM5GJT

not attested not anchored not stored refs pending

A Branch-and-Price Algorithm for the Two-Echelon Inventory-Routing Problem

Duygu Ta\c{s}, Sara Charaf, Simme Douwe Flapper, Tom Van Woensel

arxiv:2206.12316 v2 · 2022-06-24 · 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{6CP4IVCUQOZV7QRV3XXXIM5GJT}

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	2026-07-05T04:35:51.613557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f09fc4545483b35fc235ddef7433a64cd5a0492027e6f588018937be21f90043

Aliases

arxiv: 2206.12316 · arxiv_version: 2206.12316v2 · doi: 10.48550/arxiv.2206.12316 · pith_short_12: 6CP4IVCUQOZV · pith_short_16: 6CP4IVCUQOZV7QRV · pith_short_8: 6CP4IVCU

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/6CP4IVCUQOZV7QRV3XXXIM5GJT \
  | 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: f09fc4545483b35fc235ddef7433a64cd5a0492027e6f588018937be21f90043

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a80e865e056027642b1de0ac8b16d4487588042f061dc48da2da1a9383513c2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-06-24T14:30:02Z",
    "title_canon_sha256": "2f1b8f81e0f4431381b38ddfaef736cf5d3b6b92425a358dd2ff91ea96db7bce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.12316",
    "kind": "arxiv",
    "version": 2
  }
}