Pith Number

pith:UG73UKJY

pith:2018:UG73UKJY46DNAPQ267Q6MDNR2C

not attested not anchored not stored refs pending

New Bounds for the Signless Laplacian Spread

Enide Andrade, Geir Dahl, Laura Leal, Mar\'ia Robbiano

arxiv:1805.11803 v1 · 2018-05-30 · math.SP · 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{UG73UKJY46DNAPQ267Q6MDNR2C}

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	2026-05-18T00:14:36.403915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1bfba2938e786d03e1af7e1e60db1d0a46ea1131c94b6582b0238c43232dcca

Aliases

arxiv: 1805.11803 · arxiv_version: 1805.11803v1 · doi: 10.48550/arxiv.1805.11803 · pith_short_12: UG73UKJY46DN · pith_short_16: UG73UKJY46DNAPQ2 · pith_short_8: UG73UKJY

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/UG73UKJY46DNAPQ267Q6MDNR2C \
  | 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: a1bfba2938e786d03e1af7e1e60db1d0a46ea1131c94b6582b0238c43232dcca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c7bf2aa9701b292a78e9cd90b6ad1647f870c31b7ba59a38cf8fa3b35c108d3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-05-30T04:30:33Z",
    "title_canon_sha256": "9b161fcd5e3aedfca1e6d6577baee52850f92ab4ae38025b9564db491104629d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.11803",
    "kind": "arxiv",
    "version": 1
  }
}