Pith Number

pith:IRKY45PY

pith:2018:IRKY45PYJCWYS7FAIRB37TMJUM

not attested not anchored not stored refs pending

A Method to Compute the Sparse Graphs for Traveling Salesman Problem Based on Frequency Quadrilaterals

Jeffrey Remmel, Yong Wang

arxiv:1801.09407 v1 · 2018-01-29 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IRKY45PYJCWYS7FAIRB37TMJUM}

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	2026-05-18T00:24:57.525112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44558e75f848ad897ca04443bfcd89a30a3ccdb35a22b0b36ce944b345661089

Aliases

arxiv: 1801.09407 · arxiv_version: 1801.09407v1 · doi: 10.48550/arxiv.1801.09407 · pith_short_12: IRKY45PYJCWY · pith_short_16: IRKY45PYJCWYS7FA · pith_short_8: IRKY45PY

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/IRKY45PYJCWYS7FAIRB37TMJUM \
  | 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: 44558e75f848ad897ca04443bfcd89a30a3ccdb35a22b0b36ce944b345661089

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afb524aea4c35bb7c129868e3af7506b51d608dc6bd033526a8daefc3f5e185f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-01-29T09:08:55Z",
    "title_canon_sha256": "1801aa0c2b77161a1f269243946e54a763bd9ce335175504d410a22892a5d4eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09407",
    "kind": "arxiv",
    "version": 1
  }
}