Pith Number

pith:4TJ4X5XL

pith:2019:4TJ4X5XLXSYNSJYIBQB4V55FWL

not attested not anchored not stored refs pending

Measurements of Three-Level Hierarchical Structure in the Outliers in the Spectrum of Deepnet Hessians

Vardan Papyan

arxiv:1901.08244 v1 · 2019-01-24 · cs.LG · 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{4TJ4X5XLXSYNSJYIBQB4V55FWL}

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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

The Implicit Bias of Depth: From Neural Collapse to Softmax Codes

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization

Receipt and verification

First computed	2026-05-17T23:55:37.566996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4d3cbf6ebbcb0d927080c03caf7a5b2f4d670d74624f2303daefc8ee8268296

Aliases

arxiv: 1901.08244 · arxiv_version: 1901.08244v1 · doi: 10.48550/arxiv.1901.08244 · pith_short_12: 4TJ4X5XLXSYN · pith_short_16: 4TJ4X5XLXSYNSJYI · pith_short_8: 4TJ4X5XL

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/4TJ4X5XLXSYNSJYIBQB4V55FWL \
  | 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: e4d3cbf6ebbcb0d927080c03caf7a5b2f4d670d74624f2303daefc8ee8268296

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4767b232024597282fc6dbd1ad5bc4a8f24cee25d27c8c7d4af8b364b780c8c",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-01-24T06:02:40Z",
    "title_canon_sha256": "c6c5f6fbed7b4b169d05c038afc90b6610ecc04dffe091a39eff0ce17edbde24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.08244",
    "kind": "arxiv",
    "version": 1
  }
}