Pith Number

pith:HQVGWWIR

pith:2017:HQVGWWIRUDS5637HPK6UOXVWN6

not attested not anchored not stored refs pending

Signless Laplacian spectral radius and fractional matchings in graphs

Ruifang Liu, Yu Lu

arxiv:1711.02310 v2 · 2017-11-07 · 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{HQVGWWIRUDS5637HPK6UOXVWN6}

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	2026-05-18T00:15:30.410455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c2a6b5911a0e5df6fe77abd475eb66facf71955de2b7c1876d3349ca823b224

Aliases

arxiv: 1711.02310 · arxiv_version: 1711.02310v2 · doi: 10.48550/arxiv.1711.02310 · pith_short_12: HQVGWWIRUDS5 · pith_short_16: HQVGWWIRUDS5637H · pith_short_8: HQVGWWIR

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/HQVGWWIRUDS5637HPK6UOXVWN6 \
  | 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: 3c2a6b5911a0e5df6fe77abd475eb66facf71955de2b7c1876d3349ca823b224

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e91cb5f3b4b17202323d888d55a7967b13059a105cd89a0c71cecfc671dfa312",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-07T06:55:54Z",
    "title_canon_sha256": "0b5ad92b651d1e55ceee4a5e1781da28b3e90499b45ab4ee55a213302d92a5dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02310",
    "kind": "arxiv",
    "version": 2
  }
}