Pith Number

pith:FONHI4RF

pith:2018:FONHI4RFM3V6N7OXUTGP72CEBA

not attested not anchored not stored refs pending

Spectrum concentration in deep residual learning: a free probability approach

Robert C. Qiu, Xing He, Zenan ling

arxiv:1807.11694 v3 · 2018-07-31 · 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{FONHI4RFM3V6N7OXUTGP72CEBA}

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	2026-05-17T23:52:52.584987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b9a74722566ebe6fdd7a4ccffe84408169d52618e5b95989fe3b6b9bce9fa24

Aliases

arxiv: 1807.11694 · arxiv_version: 1807.11694v3 · doi: 10.48550/arxiv.1807.11694 · pith_short_12: FONHI4RFM3V6 · pith_short_16: FONHI4RFM3V6N7OX · pith_short_8: FONHI4RF

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/FONHI4RFM3V6N7OXUTGP72CEBA \
  | 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: 2b9a74722566ebe6fdd7a4ccffe84408169d52618e5b95989fe3b6b9bce9fa24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "106ddc96b04ae8f211e524937161ae8a475494ce56b98736c6dd24eb363e5888",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2018-07-31T07:49:59Z",
    "title_canon_sha256": "a7ca911945f8e515868cdb21f76e7b0d9599c8386cb4599c3acb46ddc7219072"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11694",
    "kind": "arxiv",
    "version": 3
  }
}