Pith Number

pith:AZNL62T2

pith:2019:AZNL62T2DPARDQHWJEIXRKGWRO

not attested not anchored not stored refs pending

Constructing Laplacian matrices with Soules vectors: inverse eigenvalue problem and applications

Karel Devriendt, Piet Van Mieghem, Renaud Lambiotte

arxiv:1909.11282 v1 · 2019-09-24 · physics.soc-ph · math.CO · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AZNL62T2DPARDQHWJEIXRKGWRO}

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.

Cited by

1 paper in Pith

The Spectral Barycentre of a Set of Graphs with Community Structure

Receipt and verification

First computed	2026-07-05T00:07:09.873265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

065abf6a7a1bc111c0f6491178a8d68bbb1368758c6a655a914c653169fdb058

Aliases

arxiv: 1909.11282 · arxiv_version: 1909.11282v1 · doi: 10.48550/arxiv.1909.11282 · pith_short_12: AZNL62T2DPAR · pith_short_16: AZNL62T2DPARDQHW · pith_short_8: AZNL62T2

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/AZNL62T2DPARDQHWJEIXRKGWRO \
  | 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: 065abf6a7a1bc111c0f6491178a8d68bbb1368758c6a655a914c653169fdb058

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "334f9ca4ba43b95ec72308a15031e3f605cdf4bf4d1f4b24bc865a2f93053d5a",
    "cross_cats_sorted": [
      "math.CO",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2019-09-24T11:49:36Z",
    "title_canon_sha256": "08de08b2ed7b6d4b77977d39aac2089afce69a9d92e6b728a7a6b9d0f1b6a659"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.11282",
    "kind": "arxiv",
    "version": 1
  }
}