Pith Number

pith:7TTBDDKA

pith:2024:7TTBDDKATLHNFJPTRO6OHMPV52

not attested not anchored not stored refs pending

The Geometry of the Set of Equivalent Linear Neural Networks

Jonathan Richard Shewchuk, Sagnik Bhattacharya

arxiv:2404.14855 v1 · 2024-04-23 · cs.LG · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7TTBDDKATLHNFJPTRO6OHMPV52}

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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

Geometry of fibers of the multiplication map of deep linear neural networks

Receipt and verification

First computed	2026-07-05T08:11:11.139187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fce6118d409aced2a5f38bbce3b1f5ee8c28b00154a9c914af5a5a1c8575af1c

Aliases

arxiv: 2404.14855 · arxiv_version: 2404.14855v1 · doi: 10.48550/arxiv.2404.14855 · pith_short_12: 7TTBDDKATLHN · pith_short_16: 7TTBDDKATLHNFJPT · pith_short_8: 7TTBDDKA

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/7TTBDDKATLHNFJPTRO6OHMPV52 \
  | 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: fce6118d409aced2a5f38bbce3b1f5ee8c28b00154a9c914af5a5a1c8575af1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db71ce9b6a5b12b45c08f9879b9e795593cc8601bad3da104e54a49da59df647",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-04-23T09:20:55Z",
    "title_canon_sha256": "179ee9e65509ac22bd49c6fb33c0b755cac690b094db00803b30f121e211ecc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.14855",
    "kind": "arxiv",
    "version": 1
  }
}