Pith Number

pith:3BU6Q6UF

pith:2026:3BU6Q6UFHRZM3ZQUT6NZO74ZFT

not attested not anchored not stored refs pending

Non-normal spectral signatures of instability in neural network training dynamics

Souvik Ghosh

arxiv:2605.23476 v1 · 2026-05-22 · cs.LG · cond-mat.dis-nn · cond-mat.mtrl-sci · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3BU6Q6UFHRZM3ZQUT6NZO74ZFT}

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.

Receipt and verification

First computed	2026-05-25T02:01:56.838138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d869e87a853c72cde6149f9b977f992cdb9dcb1c968c92789766e0ce430937ef

Aliases

arxiv: 2605.23476 · arxiv_version: 2605.23476v1 · doi: 10.48550/arxiv.2605.23476 · pith_short_12: 3BU6Q6UFHRZM · pith_short_16: 3BU6Q6UFHRZM3ZQU · pith_short_8: 3BU6Q6UF

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/3BU6Q6UFHRZM3ZQUT6NZO74ZFT \
  | 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: d869e87a853c72cde6149f9b977f992cdb9dcb1c968c92789766e0ce430937ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cdf5ca97983e2ca6476788894616bbb22acf69d898f37304e1880032b86ca9a",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.mtrl-sci",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-22T10:36:48Z",
    "title_canon_sha256": "89b27b76b7227ef8d7e98d0aabb9d11e5bf7542100f819c0f72745a6ca6c8108"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23476",
    "kind": "arxiv",
    "version": 1
  }
}