Pith Number

pith:K7XEUUON

pith:2019:K7XEUUOND6MEGFIJITWGQ745NQ

not attested not anchored not stored refs pending

Characterizing the Integrality Gap of the Subtour LP for the Circulant Traveling Salesman Problem

David P. Williamson, Samuel C. Gutekunst

arxiv:1902.06808 v3 · 2019-02-18 · cs.DS · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K7XEUUOND6MEGFIJITWGQ745NQ}

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	2026-05-17T23:39:54.996416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57ee4a51cd1f9843150944ec687f9d6c0cc08fca3fdd3b1fd2f5fc9a3b737afc

Aliases

arxiv: 1902.06808 · arxiv_version: 1902.06808v3 · doi: 10.48550/arxiv.1902.06808 · pith_short_12: K7XEUUOND6ME · pith_short_16: K7XEUUOND6MEGFIJ · pith_short_8: K7XEUUON

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/K7XEUUOND6MEGFIJITWGQ745NQ \
  | 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: 57ee4a51cd1f9843150944ec687f9d6c0cc08fca3fdd3b1fd2f5fc9a3b737afc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdadade85ebb75defd90b8389f667c9832af1498924f8657a503c38a0a78f53d",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2019-02-18T21:49:03Z",
    "title_canon_sha256": "211a86ae66b36289f6c64b7b0047605322884b7fb02d3cd9f1a71f37ee7a10ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.06808",
    "kind": "arxiv",
    "version": 3
  }
}