Pith Number

pith:AI4IPHAI

pith:2019:AI4IPHAIYTOS76UWYZ7CVJOOJQ

not attested not anchored not stored refs pending

On the signless Laplacian spectral radius of $K_{s,t}$-minor free graphs

Ming-Zhu Chen, Xiao-Dong Zhang

arxiv:1908.04221 v1 · 2019-08-12 · 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{AI4IPHAIYTOS76UWYZ7CVJOOJQ}

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	2026-07-04T23:53:21.647678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0238879c08c4dd2ffa96c67e2aa5ce4c32388f86835329389c9a15520dbe1441

Aliases

arxiv: 1908.04221 · arxiv_version: 1908.04221v1 · doi: 10.48550/arxiv.1908.04221 · pith_short_12: AI4IPHAIYTOS · pith_short_16: AI4IPHAIYTOS76UW · pith_short_8: AI4IPHAI

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/AI4IPHAIYTOS76UWYZ7CVJOOJQ \
  | 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: 0238879c08c4dd2ffa96c67e2aa5ce4c32388f86835329389c9a15520dbe1441

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "504bd154a20444d74de99357d1a23c46efeaccf013037fcd38ac9436406094c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-12T16:11:31Z",
    "title_canon_sha256": "67450e2e61832e7de1c2ed33b909ea4e46cd27487b2699a163dfe0eb795c8d38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04221",
    "kind": "arxiv",
    "version": 1
  }
}