Pith Number

pith:LPOFT7TY

pith:2026:LPOFT7TYKWXJXON7SP4P2GVBFK

not attested not anchored not stored refs pending

On hamiltonian cycles of 1-tough $(P_{2} \cup kP_{1})$-free graphs

Masahiro Sanka

arxiv:2605.19508 v1 · 2026-05-19 · 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{LPOFT7TYKWXJXON7SP4P2GVBFK}

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	2026-05-20T01:05:49.135646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bdc59fe7855ae9bb9bf93f8fd1aa12ab22190670c611b34f15b2142f7a93164

Aliases

arxiv: 2605.19508 · arxiv_version: 2605.19508v1 · doi: 10.48550/arxiv.2605.19508 · pith_short_12: LPOFT7TYKWXJ · pith_short_16: LPOFT7TYKWXJXON7 · pith_short_8: LPOFT7TY

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/LPOFT7TYKWXJXON7SP4P2GVBFK \
  | 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: 5bdc59fe7855ae9bb9bf93f8fd1aa12ab22190670c611b34f15b2142f7a93164

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48d0f81b4da9b9b3a8420a473958439a8917006045b5860392f027afa3e3da34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-19T08:06:58Z",
    "title_canon_sha256": "f55a2b40609410af3cb625ac5b8a99855a0c7968c3a8d7956291ed06d83952cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19508",
    "kind": "arxiv",
    "version": 1
  }
}