Pith Number

pith:5H34GDI5

pith:2026:5H34GDI5SRXRI2IYL2EKVV3U4F

not attested not anchored not stored refs pending

Graph Signal Separation with Learnable Spectral Filters

Dorina Thanou, Keivan Faghih Niresi, Olga Fink

A learnable spectral filtering method separates multiple graph signals from their mixture by restricting each to the low-frequency subspace of its graph.

arxiv:2604.24185 v2 · 2026-04-27 · eess.SP

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\usepackage{pith}
\pithnumber{5H34GDI5SRXRI2IYL2EKVV3U4F}

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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.

Claims

C1strongest claim

Numerical experiments confirm that this framework successfully isolates individual sources using solely the observed mixture and the underlying graph topology.

C2weakest assumption

That restricting reconstruction to the low-frequency eigenspace of each source-specific graph Laplacian supplies a sufficiently strong and unique structural prior to separate the latent signals from their mixture, assuming the graphs are known, distinct, and that the signals are indeed smooth on those graphs.

C3one line summary

An unsupervised learnable spectral filtering method separates graph signals from a single mixture by reconstructing each source in its own low-frequency Laplacian subspace.

Receipt and verification

First computed	2026-06-19T16:11:23.897587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9f7c30d1d946f1469185e88aad774e17a60fda6e32c9dad06372c544761f14b

Aliases

arxiv: 2604.24185 · arxiv_version: 2604.24185v2 · doi: 10.48550/arxiv.2604.24185 · pith_short_12: 5H34GDI5SRXR · pith_short_16: 5H34GDI5SRXRI2IY · pith_short_8: 5H34GDI5

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/5H34GDI5SRXRI2IYL2EKVV3U4F \
  | 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: e9f7c30d1d946f1469185e88aad774e17a60fda6e32c9dad06372c544761f14b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "967453eaddc463da202d8d8c5b17b3de1272c54e04c74d38f2c3a1c631a5792b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "eess.SP",
    "submitted_at": "2026-04-27T08:46:04Z",
    "title_canon_sha256": "fe3bf97a0f83f775eca71057a44623823288d5e0a5d5b760fa23a4aaabda617c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.24185",
    "kind": "arxiv",
    "version": 2
  }
}