Pith Number

pith:ARKURCR5

pith:2026:ARKURCR534QWVBSRT2KWWKUGM3

not attested not anchored not stored refs pending

An open, reproducible branch-and-cut for the capacitated profitable tour problem: a component study

Simon Spoorendonk

arxiv:2607.04497 v1 · 2026-07-05 · math.OC · cs.DS · cs.MS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ARKURCR534QWVBSRT2KWWKUGM3}

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	2026-07-07T02:19:22.138601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0455488a3ddf216a86519e956b2a8666e306881952fff1e4f7f340aa8af2374b

Aliases

arxiv: 2607.04497 · arxiv_version: 2607.04497v1 · doi: 10.48550/arxiv.2607.04497 · pith_short_12: ARKURCR534QW · pith_short_16: ARKURCR534QWVBSR · pith_short_8: ARKURCR5

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/ARKURCR534QWVBSRT2KWWKUGM3 \
  | 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: 0455488a3ddf216a86519e956b2a8666e306881952fff1e4f7f340aa8af2374b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37e21d41f91f1989e867b96e6ddd9de52c4a0b384bf49063114284534ad610bd",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.MS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-05T20:47:08Z",
    "title_canon_sha256": "cc56d525035adb804d06e74b6825c4203a0ae8f4da5c89d9b95ebf538d2dc642"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04497",
    "kind": "arxiv",
    "version": 1
  }
}