Pith Number

pith:23T5CUF7

pith:2024:23T5CUF7OPGMRYWX4KASWNFTUC

not attested not anchored not stored refs pending

On spectral outliers of inhomogeneous symmetric random matrices

Dylan J. Altschuler, Konstantin Tikhomirov, Patrick Oliveira Santos, Pierre Youssef

arxiv:2401.07852 v2 · 2024-01-15 · math.PR

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\usepackage{pith}
\pithnumber{23T5CUF7OPGMRYWX4KASWNFTUC}

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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

1 paper in Pith

On the Stability of the Jacobian Matrix in Deep Neural Networks

Receipt and verification

First computed	2026-07-05T07:37:30.865326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6e7d150bf73ccc8e2d7e2812b34b3a0a146c6e4eb9a279303bbddc55573c40f

Aliases

arxiv: 2401.07852 · arxiv_version: 2401.07852v2 · doi: 10.48550/arxiv.2401.07852 · pith_short_12: 23T5CUF7OPGM · pith_short_16: 23T5CUF7OPGMRYWX · pith_short_8: 23T5CUF7

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/23T5CUF7OPGMRYWX4KASWNFTUC \
  | 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: d6e7d150bf73ccc8e2d7e2812b34b3a0a146c6e4eb9a279303bbddc55573c40f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66adc26429f35902e2db93982f7189771b645589226fdb76dfe57f1b242dcfd6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-01-15T17:27:19Z",
    "title_canon_sha256": "c622c21f770df8d955daf3117739fcf47c3853bab272202d408df805d8d898e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.07852",
    "kind": "arxiv",
    "version": 2
  }
}