Pith Number

pith:UHE7NE4J

pith:2025:UHE7NE4JQ52347DVETXNDK6QR7

not attested not anchored not stored refs pending

A Dynamical Systems Perspective on the Analysis of Neural Networks

Christian Kuehn, Dennis Chemnitz, Maximilian Engel, Sara-Viola Kuntz

arxiv:2507.05164 v2 · 2025-07-07 · math.DS · cs.LG · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UHE7NE4JQ52347DVETXNDK6QR7}

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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

Spectral Selection in Symmetric Self-Attention Dynamics

Receipt and verification

First computed	2026-06-19T16:09:49.971464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1c9f693898775be7c7524eed1abd08fe69b4acf6643063c047d6f108bc150ed

Aliases

arxiv: 2507.05164 · arxiv_version: 2507.05164v2 · doi: 10.48550/arxiv.2507.05164 · pith_short_12: UHE7NE4JQ523 · pith_short_16: UHE7NE4JQ52347DV · pith_short_8: UHE7NE4J

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/UHE7NE4JQ52347DVETXNDK6QR7 \
  | 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: a1c9f693898775be7c7524eed1abd08fe69b4acf6643063c047d6f108bc150ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e04ac6d88bcd34170b672c043fe16ac08c4d7a19794f79d04e103f2df9108f3",
    "cross_cats_sorted": [
      "cs.LG",
      "nlin.AO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-07-07T16:18:49Z",
    "title_canon_sha256": "889725354f5bf2c708a830acd7667ff110dc372154a2a5d682a20a372bb2b1ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.05164",
    "kind": "arxiv",
    "version": 2
  }
}