Pith Number

pith:LPZ2QAYG

pith:2018:LPZ2QAYGXGGDBZQTFLOMLJGDZR

not attested not anchored not stored refs pending

The Computational Complexity of Training ReLU(s)

Daniel Reichman, Pasin Manurangsi

arxiv:1810.04207 v2 · 2018-10-09 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LPZ2QAYGXGGDBZQTFLOMLJGDZR}

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

Equivalence of Coarse and Fine-Grained Models for Learning with Distribution Shift

Receipt and verification

First computed	2026-05-18T00:03:14.436471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bf3a80306b98c30e6132adcc5a4c3cc6d10952d59a0c484433c68d50bbf2a72

Aliases

arxiv: 1810.04207 · arxiv_version: 1810.04207v2 · doi: 10.48550/arxiv.1810.04207 · pith_short_12: LPZ2QAYGXGGD · pith_short_16: LPZ2QAYGXGGDBZQT · pith_short_8: LPZ2QAYG

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/LPZ2QAYGXGGDBZQTFLOMLJGDZR \
  | 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: 5bf3a80306b98c30e6132adcc5a4c3cc6d10952d59a0c484433c68d50bbf2a72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ad9cafe2211ddcb0fe204bf3db77388187dcca080aa56541978132be1082ea5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2018-10-09T18:42:22Z",
    "title_canon_sha256": "aba69ee4d8992d203940736c7618d1668ebb491e3e0ca4deae9a7f73bc3ebab6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.04207",
    "kind": "arxiv",
    "version": 2
  }
}