Pith Number

pith:SP7AUMLS

pith:2018:SP7AUMLSRGBC65YMHL3OYOGRVU

not attested not anchored not stored refs pending

Representing smooth functions as compositions of near-identity functions with implications for deep network optimization

Peter L. Bartlett, Philip M. Long, Steven N. Evans

arxiv:1804.05012 v2 · 2018-04-13 · cs.LG · cs.AI · cs.NE · math.ST · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SP7AUMLSRGBC65YMHL3OYOGRVU}

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

Chaining Meets Chain Rule: Multilevel Entropic Regularization and Training of Neural Nets

Receipt and verification

First computed	2026-05-18T00:18:30.658148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93fe0a317289822f770c3af6ec38d1ad0fad2b6f8dde5fd721d7d45441621a5d

Aliases

arxiv: 1804.05012 · arxiv_version: 1804.05012v2 · doi: 10.48550/arxiv.1804.05012 · pith_short_12: SP7AUMLSRGBC · pith_short_16: SP7AUMLSRGBC65YM · pith_short_8: SP7AUMLS

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/SP7AUMLSRGBC65YMHL3OYOGRVU \
  | 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: 93fe0a317289822f770c3af6ec38d1ad0fad2b6f8dde5fd721d7d45441621a5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64de069a8286a6ab86ba1cfe6c9b4438c79d3b73ba00a8e8ea19068e98783764",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.NE",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2018-04-13T16:24:17Z",
    "title_canon_sha256": "9ed918384c94d1d0b650261641a3c8f4b7b004c9dd51b2ebaee1c1e630b1c9ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05012",
    "kind": "arxiv",
    "version": 2
  }
}