Pith Number

pith:XAOJPPQ2

pith:2022:XAOJPPQ2ZFSKDNPDLNAXEPEGVO

not attested not anchored not stored refs pending

Improved Smoothed Analysis of 2-Opt for the Euclidean TSP

Bodo Manthey, Jesse van Rhijn

arxiv:2211.16908 v2 · 2022-11-30 · cs.DS · cs.CC · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XAOJPPQ2ZFSKDNPDLNAXEPEGVO}

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

Smoothed Analysis of the k-Swap Neighborhood for Makespan Scheduling

Receipt and verification

First computed	2026-07-05T07:00:20.334735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b81c97be1ac964a1b5e35b41723c86abb57342aca04ec21651375dd4d86cb9e9

Aliases

arxiv: 2211.16908 · arxiv_version: 2211.16908v2 · doi: 10.48550/arxiv.2211.16908 · pith_short_12: XAOJPPQ2ZFSK · pith_short_16: XAOJPPQ2ZFSKDNPD · pith_short_8: XAOJPPQ2

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/XAOJPPQ2ZFSKDNPDLNAXEPEGVO \
  | 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: b81c97be1ac964a1b5e35b41723c86abb57342aca04ec21651375dd4d86cb9e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e69bb93727e43bf304b129b41009c145be1c096674c79aa1ff0f91c1451b5e57",
    "cross_cats_sorted": [
      "cs.CC",
      "math.CO",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2022-11-30T11:10:40Z",
    "title_canon_sha256": "81ee337eacb3353e5504fbbca043f8b5387d3ddd0983727215cee9968c852cdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.16908",
    "kind": "arxiv",
    "version": 2
  }
}