Pith Number

pith:JI7Y62SX

pith:2019:JI7Y62SXI7WVJZQIP5SEPIZGK6

not attested not anchored not stored refs pending

Fine-Grained Complexity of k-OPT in Bounded-Degree Graphs for Solving TSP

Bart M. P. Jansen, \'Edouard Bonnet, {\L}ukasz Kowalik, Yoichi Iwata

arxiv:1908.09325 v2 · 2019-08-25 · cs.DS · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JI7Y62SXI7WVJZQIP5SEPIZGK6}

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	2026-07-05T00:01:03.834309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a3f8f6a5747ed54e6087f6447a32657a1eeed48e783bf4d764d8edf36e38376

Aliases

arxiv: 1908.09325 · arxiv_version: 1908.09325v2 · doi: 10.48550/arxiv.1908.09325 · pith_short_12: JI7Y62SXI7WV · pith_short_16: JI7Y62SXI7WVJZQI · pith_short_8: JI7Y62SX

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/JI7Y62SXI7WVJZQIP5SEPIZGK6 \
  | 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: 4a3f8f6a5747ed54e6087f6447a32657a1eeed48e783bf4d764d8edf36e38376

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37e9a48b47e05f368c212d6e6d7cf0fe77db725d3aafd19e76d15b7a65b14bba",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2019-08-25T13:28:53Z",
    "title_canon_sha256": "a7f34de2e3a89aa243ee0e6bc495d6caad42c9d623cc1adb1b5a6f37a055d150"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09325",
    "kind": "arxiv",
    "version": 2
  }
}