Pith Number

pith:XH5TRNDO

pith:2020:XH5TRNDOZA2PVU6UO6GLJE2FGD

not attested not anchored not stored refs pending

Directional convergence and alignment in deep learning

Matus Telgarsky, Ziwei Ji

arxiv:2006.06657 v2 · 2020-06-11 · cs.LG · cs.NE · math.OC · 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{XH5TRNDOZA2PVU6UO6GLJE2FGD}

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

On Generalization Bounds for Neural Networks with Low Rank Layers

Receipt and verification

First computed	2026-07-05T01:46:01.730210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9fb38b46ec834fad3d4778cb4934530f453fbfd9315e6281f41fd8ac3459228

Aliases

arxiv: 2006.06657 · arxiv_version: 2006.06657v2 · doi: 10.48550/arxiv.2006.06657 · pith_short_12: XH5TRNDOZA2P · pith_short_16: XH5TRNDOZA2PVU6U · pith_short_8: XH5TRNDO

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/XH5TRNDOZA2PVU6UO6GLJE2FGD \
  | 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: b9fb38b46ec834fad3d4778cb4934530f453fbfd9315e6281f41fd8ac3459228

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ca2dd3a9e9e380f4678f0520d850cd59e084803dcccef6647bb8e94970efabb",
    "cross_cats_sorted": [
      "cs.NE",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-06-11T17:50:11Z",
    "title_canon_sha256": "e9a8a6d8fae9dcdbc7a4a60cf51024695a757ca45dc27d0cf2da06176bbabc51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.06657",
    "kind": "arxiv",
    "version": 2
  }
}