Pith Number

pith:KA67QAWR

pith:2021:KA67QAWR6ROXSNUVMVS6TMNFHA

not attested not anchored not stored refs pending

Approximating TSP walks in subcubic graphs

Michael C. Wigal, Xingxing Yu, Youngho Yoo

arxiv:2112.06278 v1 · 2021-12-12 · math.CO · cs.DM · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KA67QAWR6ROXSNUVMVS6TMNFHA}

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	2026-07-05T03:40:12.246817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

503df802d1f45d7936956565e9b1a5380680cab58fd6b1c445cf9bb82a7eefde

Aliases

arxiv: 2112.06278 · arxiv_version: 2112.06278v1 · doi: 10.48550/arxiv.2112.06278 · pith_short_12: KA67QAWR6ROX · pith_short_16: KA67QAWR6ROXSNUV · pith_short_8: KA67QAWR

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/KA67QAWR6ROXSNUVMVS6TMNFHA \
  | 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: 503df802d1f45d7936956565e9b1a5380680cab58fd6b1c445cf9bb82a7eefde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f6c7c51ff39a6ad76ab24ad3066492e8eddbb6c027f0414361aa8bd2f8e3367",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-12-12T16:59:46Z",
    "title_canon_sha256": "58bb0c119c6cd51c8c9f4000f6c1e7415d4e4904e54833f9858dc65fc43a416f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.06278",
    "kind": "arxiv",
    "version": 1
  }
}