Pith Number

pith:TC5LQ7GT

pith:2018:TC5LQ7GTWEVXUU4PXGEZ667PJG

not attested not anchored not stored refs pending

Nearly-tight bounds on linear regions of piecewise linear neural networks

Hao Zhang, Qiang Hu

arxiv:1810.13192 v4 · 2018-10-31 · cs.LG · cs.AI · 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{TC5LQ7GTWEVXUU4PXGEZ667PJG}

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	2026-05-17T23:57:30.920974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98bab87cd3b12b7a538fb9899f7bef4988baa7a6036d5f332751f056e3a78ef3

Aliases

arxiv: 1810.13192 · arxiv_version: 1810.13192v4 · doi: 10.48550/arxiv.1810.13192 · pith_short_12: TC5LQ7GTWEVX · pith_short_16: TC5LQ7GTWEVXUU4P · pith_short_8: TC5LQ7GT

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/TC5LQ7GTWEVXUU4PXGEZ667PJG \
  | 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: 98bab87cd3b12b7a538fb9899f7bef4988baa7a6036d5f332751f056e3a78ef3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91518d1be31dd5fda783760fcf2f3a796cc4de4dad0f4d8a289b3b6f7f624253",
    "cross_cats_sorted": [
      "cs.AI",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2018-10-31T10:08:40Z",
    "title_canon_sha256": "056c16a8522e468681b1767d2d4da231e241742283f4c23224ca16b0d75a09a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.13192",
    "kind": "arxiv",
    "version": 4
  }
}