Pith Number

pith:UNO6YWV5

pith:2025:UNO6YWV5DLBMJMHP7UQEO3H24R

not attested not anchored not stored refs pending

Computational Thresholds in Multi-Modal Learning via the Spiked Matrix-Tensor Model

Florent Krzakala, Hugo Tabanelli, Lenka Zdeborova, Pierre Mergny

arxiv:2506.02664 v1 · 2025-06-03 · stat.ML · cond-mat.dis-nn · cs.LG

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\usepackage{pith}
\pithnumber{UNO6YWV5DLBMJMHP7UQEO3H24R}

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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.

Cited by

3 papers in Pith

When to Align, When to Predict: A Phase Diagram for Multimodal Learning

Optimal Spectral Algorithms for Correlated Two-view Models in High Dimensions

Deep Learning as Neural Low-Degree Filtering: A Spectral Theory of Hierarchical Feature Learning

Receipt and verification

First computed	2026-07-05T11:15:06.150604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a35dec5abd1ac2c4b0effd20476cfae474951b35f1f7d4b61a2dda2e4af97e28

Aliases

arxiv: 2506.02664 · arxiv_version: 2506.02664v1 · doi: 10.48550/arxiv.2506.02664 · pith_short_12: UNO6YWV5DLBM · pith_short_16: UNO6YWV5DLBMJMHP · pith_short_8: UNO6YWV5

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/UNO6YWV5DLBMJMHP7UQEO3H24R \
  | 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: a35dec5abd1ac2c4b0effd20476cfae474951b35f1f7d4b61a2dda2e4af97e28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8b417aa2326d353d61b06b0e5522d7489bf2cafe7677cd439dc75eb48a8d477",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2025-06-03T09:14:34Z",
    "title_canon_sha256": "c84c099f7489a5701e6f53e192aecb1944dd09e9b1b6aae66b5d8aec8aedf684"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02664",
    "kind": "arxiv",
    "version": 1
  }
}