Pith Number

pith:4WIOWHJW

pith:2020:4WIOWHJWU7BPI3CYTW6TFI5GZZ

not attested not anchored not stored refs pending

An Optimal Control Theory for the Traveling Salesman Problem and Its Variants

I. M. Ross, M. Karpenko, R. J. Proulx

arxiv:2005.03186 v1 · 2020-05-07 · math.OC · cs.AI · cs.DM · cs.RO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WIOWHJWU7BPI3CYTW6TFI5GZZ}

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

A Million-Point Fast Trajectory Optimization Solver

Receipt and verification

First computed	2026-07-05T01:01:06.017670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e590eb1d36a7c2f46c589dbd32a3a6ce73364c2650780edddc1d40b101f37474

Aliases

arxiv: 2005.03186 · arxiv_version: 2005.03186v1 · doi: 10.48550/arxiv.2005.03186 · pith_short_12: 4WIOWHJWU7BP · pith_short_16: 4WIOWHJWU7BPI3CY · pith_short_8: 4WIOWHJW

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/4WIOWHJWU7BPI3CYTW6TFI5GZZ \
  | 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: e590eb1d36a7c2f46c589dbd32a3a6ce73364c2650780edddc1d40b101f37474

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0264853aa3ca396c23ade081d17c7bc69bdd2009f3b814b8532be4dd1916e624",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.DM",
      "cs.RO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-05-07T00:44:27Z",
    "title_canon_sha256": "e4fc4581d4312a26ebd857bfb2c840a97559c2536e1c4101b1ae8435e1a05fad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.03186",
    "kind": "arxiv",
    "version": 1
  }
}