Pith Number

pith:M7LA5S5J

pith:2026:M7LA5S5JSXSTFMDHVFYGCZOLYP

not attested not anchored not stored refs pending

Branch-and-price strikes back for the k-vertex cut problem

Christopher Hojny, Fabio Ciccarelli, Fabio Furini, Marco L\"ubbecke

arxiv:2602.04984 v2 · 2026-02-04 · 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{M7LA5S5JSXSTFMDHVFYGCZOLYP}

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	2026-06-08T01:05:06.969580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67d60ecba995e532b067a9706165cbc3d80e39214ac0b15551f0b37e84d86053

Aliases

arxiv: 2602.04984 · arxiv_version: 2602.04984v2 · doi: 10.48550/arxiv.2602.04984 · pith_short_12: M7LA5S5JSXST · pith_short_16: M7LA5S5JSXSTFMDH · pith_short_8: M7LA5S5J

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/M7LA5S5JSXSTFMDHVFYGCZOLYP \
  | 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: 67d60ecba995e532b067a9706165cbc3d80e39214ac0b15551f0b37e84d86053

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83a97c1cfdcfafab1f83a72ea6e2f41cdb6f23b4c0d1ebbaa23ff8b3b94578e5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-02-04T19:16:08Z",
    "title_canon_sha256": "315bc6abd58d86d73841baf15262054343e63cf32d242858667ea6bb5d2389fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.04984",
    "kind": "arxiv",
    "version": 2
  }
}