Pith Number

pith:TU2Z3DAV

pith:2024:TU2Z3DAVLY3B7UBMFQ6KNWRI5J

not attested not anchored not stored refs pending

On the Geometry of Deep Learning

Ahmed Imtiaz Humayun, Randall Balestriero, Richard Baraniuk

arxiv:2408.04809 v2 · 2024-08-09 · cs.LG · cs.AI · cs.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TU2Z3DAVLY3B7UBMFQ6KNWRI5J}

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

1 paper in Pith

On Space Folds of ReLU Neural Networks

Receipt and verification

First computed	2026-07-05T10:01:00.820076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d359d8c155e361fd02c2c3ca6da28ea7bf837e2efaf39d0aa7078741956ebeb

Aliases

arxiv: 2408.04809 · arxiv_version: 2408.04809v2 · doi: 10.48550/arxiv.2408.04809 · pith_short_12: TU2Z3DAVLY3B · pith_short_16: TU2Z3DAVLY3B7UBM · pith_short_8: TU2Z3DAV

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/TU2Z3DAVLY3B7UBMFQ6KNWRI5J \
  | 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: 9d359d8c155e361fd02c2c3ca6da28ea7bf837e2efaf39d0aa7078741956ebeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "662febd9fccbea6c6973f0b72d6c4007e9a8dfe36884eee74ceef3e5127ff74c",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-08-09T01:40:12Z",
    "title_canon_sha256": "d1bcad9285690d2d86722015ed3e9c1e4f7b72456bfbe9a5bf6cc1c4f717449e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.04809",
    "kind": "arxiv",
    "version": 2
  }
}