Pith Number

pith:LO6T63TT

pith:2023:LO6T63TTSRP6EB3NN5PGLBFU7U

not attested not anchored not stored refs pending

Spectral Phase Transitions in Non-Linear Wigner Spiked Models

Alice Guionnet, Florent Krzakala, Justin Ko, Lenka Zdeborov\'a, Pierre Mergny

arxiv:2310.14055 v1 · 2023-10-21 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LO6T63TTSRP6EB3NN5PGLBFU7U}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

2 papers in Pith

Feature Learning in Linear-Width Two-Layer Networks: Two vs. One Step of Gradient Descent

Receipt and verification

First computed	2026-07-05T07:03:39.098203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bbd3f6e73945fe2076d6f5e6584b4fd276badb4eeed885417aedaa0020000f5

Aliases

arxiv: 2310.14055 · arxiv_version: 2310.14055v1 · doi: 10.48550/arxiv.2310.14055 · pith_short_12: LO6T63TTSRP6 · pith_short_16: LO6T63TTSRP6EB3N · pith_short_8: LO6T63TT

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/LO6T63TTSRP6EB3NN5PGLBFU7U \
  | 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: 5bbd3f6e73945fe2076d6f5e6584b4fd276badb4eeed885417aedaa0020000f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4b2ef81a03cbd488db2dd45e83d07e3501e16f39e9771842a51a0a08e8c2925",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-10-21T16:23:59Z",
    "title_canon_sha256": "9c5510fd926d2e0bc228d7094b54d1ef1a77f139c7e62ecf76de3c51b8aad521"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.14055",
    "kind": "arxiv",
    "version": 1
  }
}