Pith Number

pith:GJFRYMM2

pith:2015:GJFRYMM2C6VYYWLQ3M7RARTN2B

not attested not anchored not stored refs pending

On a conjecture for the signless Laplacian spectral radius of cacti with given matching number

Lihua You, Minjie Zhang, Shuchao Li, Yun Shen

arxiv:1511.06902 v1 · 2015-11-21 · 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{GJFRYMM2C6VYYWLQ3M7RARTN2B}

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	2026-05-18T01:26:17.199239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

324b1c319a17ab8c5970db3f10466dd0511e37882df84fcdd55ca17e6ad5afee

Aliases

arxiv: 1511.06902 · arxiv_version: 1511.06902v1 · doi: 10.48550/arxiv.1511.06902 · pith_short_12: GJFRYMM2C6VY · pith_short_16: GJFRYMM2C6VYYWLQ · pith_short_8: GJFRYMM2

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/GJFRYMM2C6VYYWLQ3M7RARTN2B \
  | 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: 324b1c319a17ab8c5970db3f10466dd0511e37882df84fcdd55ca17e6ad5afee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6235cf278fd01f6f1b08737fed82cac391316f171686e2afc73a5e5d10b2eda",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-21T17:15:01Z",
    "title_canon_sha256": "a40fadc3c34f027b8dbba2bce78db405dda5974273333b8d8663555fc1397481"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06902",
    "kind": "arxiv",
    "version": 1
  }
}