Pith Number

pith:RMALGTLS

pith:2019:RMALGTLSQYYNWUUOOLDWROVNZZ

not attested not anchored not stored refs pending

The effect of a graft transformation on distance signless Laplacian spectral radius of the graphs

Dandan Fan, Guoping Wang, Yinfeng Zhu

arxiv:1907.05719 v1 · 2019-07-11 · 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{RMALGTLSQYYNWUUOOLDWROVNZZ}

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	2026-05-17T23:40:44.668091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b00b34d728630db528e72c768baadce5bca6ffcff1a91d7ef6777df04cf5f8a

Aliases

arxiv: 1907.05719 · arxiv_version: 1907.05719v1 · doi: 10.48550/arxiv.1907.05719 · pith_short_12: RMALGTLSQYYN · pith_short_16: RMALGTLSQYYNWUUO · pith_short_8: RMALGTLS

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/RMALGTLSQYYNWUUOOLDWROVNZZ \
  | 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: 8b00b34d728630db528e72c768baadce5bca6ffcff1a91d7ef6777df04cf5f8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77d9c40aedd15ab2b796b708b24663c4f415f6e460cf9dc3f5f1caffdd87f28c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-11T02:44:09Z",
    "title_canon_sha256": "3f508956f0d2a21b7dda55feea423daffb2ac9ea9b5c83567845720cf9533d95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05719",
    "kind": "arxiv",
    "version": 1
  }
}