Pith Number

pith:YZ3YCMZB

pith:2019:YZ3YCMZBOGIBXU6SLSLQYNLYT4

not attested not anchored not stored refs pending

Signless Laplacian spectral radius and fractional matchings in graphs

Jianping Li, Yingui Pan

arxiv:1905.06557 v2 · 2019-05-16 · 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{YZ3YCMZBOGIBXU6SLSLQYNLYT4}

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	2026-05-17T23:45:03.763908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c67781332171901bd3d25c970c35789f35e7057e002eba0606a5d78684a0bc3d

Aliases

arxiv: 1905.06557 · arxiv_version: 1905.06557v2 · doi: 10.48550/arxiv.1905.06557 · pith_short_12: YZ3YCMZBOGIB · pith_short_16: YZ3YCMZBOGIBXU6S · pith_short_8: YZ3YCMZB

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/YZ3YCMZBOGIBXU6SLSLQYNLYT4 \
  | 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: c67781332171901bd3d25c970c35789f35e7057e002eba0606a5d78684a0bc3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5095a9818c0f9d637e9ecf33633777122ef7dcd4134a3c783dbcbf2c93a47c66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-16T06:47:02Z",
    "title_canon_sha256": "0b5ad92b651d1e55ceee4a5e1781da28b3e90499b45ab4ee55a213302d92a5dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.06557",
    "kind": "arxiv",
    "version": 2
  }
}