Pith Number

pith:RNSR6Z4C

pith:2026:RNSR6Z4CWKM36RVESJLP7RPUEX

not attested not anchored not stored refs pending

Evidence for a Functional Proximity Law in Multilayer Networks

Vladi Ivanov

In multilayer networks, hub importance persists more strongly across functionally similar layers than dissimilar ones.

arxiv:2604.23639 v2 · 2026-04-26 · cs.SI

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\usepackage{pith}
\pithnumber{RNSR6Z4CWKM36RVESJLP7RPUEX}

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Record completeness

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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.

Claims

C1strongest claim

Hub importance scores in multilayer networks persist more strongly between functionally similar layers than dissimilar ones. We call this the Functional Proximity Law and test it across 17 pre-registered experiments.

C2weakest assumption

That functional similarity between layers can be defined consistently and objectively across disparate domains and that hub importance metrics remain comparable when layers come from different data sources and measurement methods.

C3one line summary

Hub importance scores in multilayer networks persist more strongly between functionally similar layers than dissimilar ones, supported by 17 pre-registered experiments with 9 confirmations and external validations.

Receipt and verification

First computed	2026-05-26T01:02:34.334376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b651f6782b299bf46a49256ffc5f425da807ba2df8aecf362db55b552bfd5fe

Aliases

arxiv: 2604.23639 · arxiv_version: 2604.23639v2 · doi: 10.48550/arxiv.2604.23639 · pith_short_12: RNSR6Z4CWKM3 · pith_short_16: RNSR6Z4CWKM36RVE · pith_short_8: RNSR6Z4C

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/RNSR6Z4CWKM36RVESJLP7RPUEX \
  | 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: 8b651f6782b299bf46a49256ffc5f425da807ba2df8aecf362db55b552bfd5fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d849342349eda7eabca7135da969e48568c85d54fb95abf50b0aad1542fe8d7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2026-04-26T09:51:28Z",
    "title_canon_sha256": "92e1e65a0c5532750b5fae03764f789713a7681535ba8e2033c4cb264afbd035"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.23639",
    "kind": "arxiv",
    "version": 2
  }
}