Pith Number

pith:6LQU4CI6

pith:2026:6LQU4CI66ZSC4XJIDTZY32BLBB

not attested not anchored not stored refs pending

Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights

Lucas B\"ottcher, Mason A. Porter, Yu Tian

arxiv:2606.12026 v1 · 2026-06-10 · math.SP · cs.SI · math-ph · math.MP · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6LQU4CI66ZSC4XJIDTZY32BLBB}

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	2026-06-11T01:10:43.828667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2e14e091ef6642e5d281cf38de82b08676b7143c7ff5262b6f22c60a342e66f

Aliases

arxiv: 2606.12026 · arxiv_version: 2606.12026v1 · doi: 10.48550/arxiv.2606.12026 · pith_short_12: 6LQU4CI66ZSC · pith_short_16: 6LQU4CI66ZSC4XJI · pith_short_8: 6LQU4CI6

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/6LQU4CI66ZSC4XJIDTZY32BLBB \
  | 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: f2e14e091ef6642e5d281cf38de82b08676b7143c7ff5262b6f22c60a342e66f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "202aa7c17a61d61799ec29bda9a5786172d98cbbfcb0e0fa3b1191806b6c6f1b",
    "cross_cats_sorted": [
      "cs.SI",
      "math-ph",
      "math.MP",
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2026-06-10T12:49:05Z",
    "title_canon_sha256": "dcff731a8b9ad5b273b0eb0cc8a79c692e70480b6abdf207f5a19a888ca96f66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12026",
    "kind": "arxiv",
    "version": 1
  }
}