Pith Number

pith:KKVL4DOZ

pith:2016:KKVL4DOZJ6YHH5GGZ5M3RFQSW7

not attested not anchored not stored refs pending

Extended Vicsek fractals: Laplacian spectra and their applications

Hongxiao Liu, Maxim Dolgushev, Zhongzhi Zhang

arxiv:1611.01244 v1 · 2016-11-04 · cond-mat.stat-mech · physics.chem-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KKVL4DOZJ6YHH5GGZ5M3RFQSW7}

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	2026-05-18T01:00:11.606283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52aabe0dd94fb073f4c6cf59b89612b7ca4722e89c522e3289a1a7a566406502

Aliases

arxiv: 1611.01244 · arxiv_version: 1611.01244v1 · doi: 10.48550/arxiv.1611.01244 · pith_short_12: KKVL4DOZJ6YH · pith_short_16: KKVL4DOZJ6YHH5GG · pith_short_8: KKVL4DOZ

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/KKVL4DOZJ6YHH5GGZ5M3RFQSW7 \
  | 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: 52aabe0dd94fb073f4c6cf59b89612b7ca4722e89c522e3289a1a7a566406502

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "067dcf38d16a6da43ecc9c19360f24d38c53bec5c808fdb337340b1d46d9a002",
    "cross_cats_sorted": [
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-11-04T02:10:03Z",
    "title_canon_sha256": "b4e511cfb1557f78c840f0fbac87937cd7409dfdf237c86405243b93e8c70e2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01244",
    "kind": "arxiv",
    "version": 1
  }
}