Pith Number

pith:DACNNGKM

pith:2012:DACNNGKMRXXO6HGUFM2WKW7IOM

not attested not anchored not stored refs pending

Characterizing Trees with Large Laplacian Energy

Carlos Hoppen, Eliseu Fritscher, Israel Rocha, Vilmar Trevisan

arxiv:1205.6487 v1 · 2012-05-29 · 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{DACNNGKMRXXO6HGUFM2WKW7IOM}

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	2026-05-18T03:21:21.660443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1804d6994c8deeef1cd42b35655be873088781b9809cf4ffdc8602879d7b5aec

Aliases

arxiv: 1205.6487 · arxiv_version: 1205.6487v1 · doi: 10.48550/arxiv.1205.6487 · pith_short_12: DACNNGKMRXXO · pith_short_16: DACNNGKMRXXO6HGU · pith_short_8: DACNNGKM

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/DACNNGKMRXXO6HGUFM2WKW7IOM \
  | 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: 1804d6994c8deeef1cd42b35655be873088781b9809cf4ffdc8602879d7b5aec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4d2f5ac869fb8693a38055ad2073f531743e2311d5c678dffd76523c08203e4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-29T20:35:13Z",
    "title_canon_sha256": "b85aec330349c5f49724f8ee6a264e9f53726eb44b74bb0ce5666af51d7d6502"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6487",
    "kind": "arxiv",
    "version": 1
  }
}