Pith Number

pith:UJRDM2WD

pith:2021:UJRDM2WDDVUZOFLNN4SIPLDGDD

not attested not anchored not stored refs pending

Globally Convergent Multilevel Training of Deep Residual Networks

Alena Kopani\v{c}\'akov\'a, Rolf Krause

arxiv:2107.07572 v2 · 2021-07-15 · cs.LG · cs.NA · math.NA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJRDM2WDDVUZOFLNN4SIPLDGDD}

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	2026-07-05T04:30:51.838004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a262366ac31d6997156d6f2487ac6618f88d325fee23110e87895b9892766afc

Aliases

arxiv: 2107.07572 · arxiv_version: 2107.07572v2 · doi: 10.48550/arxiv.2107.07572 · pith_short_12: UJRDM2WDDVUZ · pith_short_16: UJRDM2WDDVUZOFLN · pith_short_8: UJRDM2WD

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/UJRDM2WDDVUZOFLNN4SIPLDGDD \
  | 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: a262366ac31d6997156d6f2487ac6618f88d325fee23110e87895b9892766afc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6ab32ba39699653010c77c3041e4d26d1d098a258b21f3ffe8fdba32f95dc80",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-07-15T19:08:58Z",
    "title_canon_sha256": "9e5b23967091d11d58906ae9ace5da3bde0945b9d9f5dc1dbe1d338724262dd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.07572",
    "kind": "arxiv",
    "version": 2
  }
}