Pith Number

pith:OBLIM2QG

pith:2025:OBLIM2QGROZ5NQWXHN23FE46QK

not attested not anchored not stored refs pending

Deep Learning as the Disciplined Construction of Tame Objects

Allen Gehret, Gilles Bareilles, Jakub Mare\v{c}ek, Jana Lep\v{s}ov\'a, Johannes Aspman

arxiv:2509.18025 v2 · 2025-09-22 · math.OC · cs.AI · cs.LG · math.LO · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OBLIM2QGROZ5NQWXHN23FE46QK}

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

Fast approximation and learning of binary classification tasks in o-minimal structures using ReLU neural networks

On convergence rates of subgradient descent on semialgebraic functions

Receipt and verification

First computed	2026-06-02T02:04:47.891656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7056866a068bb3d6c2d73b75b2939e82bdafaf7584cc67cb9cb4df6cd3af7d5c

Aliases

arxiv: 2509.18025 · arxiv_version: 2509.18025v2 · doi: 10.48550/arxiv.2509.18025 · pith_short_12: OBLIM2QGROZ5 · pith_short_16: OBLIM2QGROZ5NQWX · pith_short_8: OBLIM2QG

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/OBLIM2QGROZ5NQWXHN23FE46QK \
  | 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: 7056866a068bb3d6c2d73b75b2939e82bdafaf7584cc67cb9cb4df6cd3af7d5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e94abc874169e917d23672bb7b83eb0a47a4f560b435e4abb8e0a382f1b3b90e",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG",
      "math.LO",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-09-22T17:00:40Z",
    "title_canon_sha256": "000ef851dd27cbe3767c5a177d4a875adce63ab88bdd01d9dd8658dde3ecda31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.18025",
    "kind": "arxiv",
    "version": 2
  }
}