Pith Number

pith:2NKEY7EV

pith:2024:2NKEY7EVSMLIDTVSES6VX65YAK

not attested not anchored not stored refs pending

A Speed-up for Helsgaun's TSP Heuristic by Relaxing the Positive Gain Criterion

Birte Ostermann, Sabrina C.L. Ammann, Sebastian Stiller, Timo de Wolff

arxiv:2401.16149 v1 · 2024-01-29 · math.OC · 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{2NKEY7EVSMLIDTVSES6VX65YAK}

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	2026-07-05T07:38:44.712155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3544c7c95931681ceb224bd5bfbb802ad6e320ed7dc213a85541c8cb5a6a2a4

Aliases

arxiv: 2401.16149 · arxiv_version: 2401.16149v1 · doi: 10.48550/arxiv.2401.16149 · pith_short_12: 2NKEY7EVSMLI · pith_short_16: 2NKEY7EVSMLIDTVS · pith_short_8: 2NKEY7EV

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/2NKEY7EVSMLIDTVSES6VX65YAK \
  | 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: d3544c7c95931681ceb224bd5bfbb802ad6e320ed7dc213a85541c8cb5a6a2a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a3e8ca58c40ef6bf30a4c04cfa5780c7aedd7a6453695a61ea75d90cdd6adb1",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-01-29T13:26:36Z",
    "title_canon_sha256": "4ed8ba61f472f8e753eab97c5caea6f19a656f24f51cc984a94e8a8e27bd7112"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.16149",
    "kind": "arxiv",
    "version": 1
  }
}