Pith Number

pith:MERHC4J5

pith:2018:MERHC4J5LVWLHR4AFZDVKVLU7A

not attested not anchored not stored refs pending

Beating the integrality ratio for s-t-tours in graphs

Jens Vygen, Vera Traub

arxiv:1804.03112 v2 · 2018-04-09 · cs.DM · cs.DS · 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{MERHC4J5LVWLHR4AFZDVKVLU7A}

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	2026-05-18T00:05:39.170247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

612271713d5d6cb3c7802e47555574f82b49a3c8168891090805ba30e778f224

Aliases

arxiv: 1804.03112 · arxiv_version: 1804.03112v2 · doi: 10.48550/arxiv.1804.03112 · pith_short_12: MERHC4J5LVWL · pith_short_16: MERHC4J5LVWLHR4A · pith_short_8: MERHC4J5

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/MERHC4J5LVWLHR4AFZDVKVLU7A \
  | 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: 612271713d5d6cb3c7802e47555574f82b49a3c8168891090805ba30e778f224

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1df08644476715f6df922e4990b82ae2eb0c1e7b6d0743e863b9608b4145752",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-04-09T17:18:39Z",
    "title_canon_sha256": "8be392038b76ae904a01051366995625201b6d5c930a92c5d9bf741f5fec5eb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03112",
    "kind": "arxiv",
    "version": 2
  }
}