Pith Number

pith:EK2MSC3L

pith:2025:EK2MSC3L7DUKX7KVVETCTQ6ND3

not attested not anchored not stored refs pending

The Cloven Traveling Salesman: Cycle Covers and the Integrality Gap of Small ATSP Instances

Alessandro Sosso, Ambrogio Maria Bernardelli, Stefano Gualandi

arxiv:2511.05045 v2 · 2025-11-07 · 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{EK2MSC3L7DUKX7KVVETCTQ6ND3}

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	2026-06-23T03:13:51.080629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22b4c90b6bf8e8abfd55a92629c3cd1ee2cdf6df83963d3583399a5d36df839a

Aliases

arxiv: 2511.05045 · arxiv_version: 2511.05045v2 · doi: 10.48550/arxiv.2511.05045 · pith_short_12: EK2MSC3L7DUK · pith_short_16: EK2MSC3L7DUKX7KV · pith_short_8: EK2MSC3L

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/EK2MSC3L7DUKX7KVVETCTQ6ND3 \
  | 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: 22b4c90b6bf8e8abfd55a92629c3cd1ee2cdf6df83963d3583399a5d36df839a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "887ace289172c4fee1e65f99917cc42da0f6c4dfa3c324792699c03b1c1f1a43",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-11-07T07:30:53Z",
    "title_canon_sha256": "91a409c8457d0a0faad4d96b1c632453aa5b7932b831aff204308868e6226f45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.05045",
    "kind": "arxiv",
    "version": 2
  }
}