Pith Number

pith:2U6U4M6P

pith:2026:2U6U4M6PGQ2IIPUBCHQ7C434PF

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Spectral Analysis of Fake News Propagation

Reza Zafarani, Weibin Cai

Spectral bounds on graph propagation patterns distinguish fake news cascades from real ones and enable classification plus structural interpretation.

arxiv:2605.13861 v1 · 2026-04-18 · cs.SI · cs.AI

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4 Citations open

5 Replications open

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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

we introduce several new bounds and integrate them with existing ones into a unified spectral representation of information propagation. We then use these spectral bounds for downstream classification and design a discrete structural optimization framework to interpret learned propagation patterns.

C2weakest assumption

That the derived spectral bounds and first-order perturbation approximation faithfully capture the distinguishing structural properties of real versus fake news cascades without substantial information loss or approximation error that would invalidate downstream classification and interpretation.

C3one line summary

New spectral bounds create a unified representation of news cascade structures that supports competitive fake news detection and interpretable optimization of propagation patterns.

References

19 extracted · 19 resolved · 0 Pith anchors

[1] maximum of out degree

[2] depth of the maximum of out degree node

[3] width entropy: P i p(wi) log(p(wi)),p(w i) = wiP i wi , wherew i is the width of depthi

[4] Category Meaning / Property Bound Equation C1 2026

[5] mean branching: P i∈I(T) di |I(T)| , where|I(T)|is the number of internal nodes,di is the degree of nodei

Receipt and verification

First computed	2026-05-17T23:39:19.484723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d53d4e33cf3434843e8111e1f1737c794e319ec90cfb18dbe7b8217a8a4acb58

Aliases

arxiv: 2605.13861 · arxiv_version: 2605.13861v1 · doi: 10.48550/arxiv.2605.13861 · pith_short_12: 2U6U4M6PGQ2I · pith_short_16: 2U6U4M6PGQ2IIPUB · pith_short_8: 2U6U4M6P

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2U6U4M6PGQ2IIPUBCHQ7C434PF \
  | 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: d53d4e33cf3434843e8111e1f1737c794e319ec90cfb18dbe7b8217a8a4acb58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9e66e52a608245be36882ace3662226e2dbe472ad28338574ff45dd98ff1c85",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2026-04-18T14:55:54Z",
    "title_canon_sha256": "f5e47394522771d46aaa227707e645c0fc5cc122d64a7ed1c50c3407974269c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13861",
    "kind": "arxiv",
    "version": 1
  }
}