Pith Number

pith:J5FHD5LW

pith:2026:J5FHD5LWKRPYXLLJPUW7Z5T4PF

not attested not anchored not stored refs pending

A column generation-based fixed-point heuristic for the service-aware multi-commodity flow problem

Richard Martin Lusby, Siv Marie Cartland Hansen

arxiv:2607.10459 v1 · 2026-07-11 · 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{J5FHD5LWKRPYXLLJPUW7Z5T4PF}

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.

Cited by

1 paper in Pith

An ALNS Heuristic for Large-Scale Line Planning with Mode Choice and Line Generation

Receipt and verification

First computed	2026-07-14T01:21:16.924588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f4a71f576545f8bad697d2dfcf67c79565517f6cf730c7bad749548973f72c8

Aliases

arxiv: 2607.10459 · arxiv_version: 2607.10459v1 · doi: 10.48550/arxiv.2607.10459 · pith_short_12: J5FHD5LWKRPY · pith_short_16: J5FHD5LWKRPYXLLJ · pith_short_8: J5FHD5LW

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/J5FHD5LWKRPYXLLJPUW7Z5T4PF \
  | 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: 4f4a71f576545f8bad697d2dfcf67c79565517f6cf730c7bad749548973f72c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d8ad06e2151e9ac94fcc82425d7dce528c14a0589f5c59d0a0d6d70fa74b367",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-11T19:48:51Z",
    "title_canon_sha256": "254f5399c9b40f1c7ea53f8bf61e52774191dd9cd00f9e85820b7c25b9a36dee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10459",
    "kind": "arxiv",
    "version": 1
  }
}