Pith Number

pith:XRLATOKU

pith:2021:XRLATOKUTCRVZG5OP32RBC7QZT

not attested not anchored not stored refs pending

Neural Collapse Under MSE Loss: Proximity to and Dynamics on the Central Path

David L. Donoho, Vardan Papyan, X.Y. Han

arxiv:2106.02073 v4 · 2021-06-03 · cs.LG · cs.AI · math.DG · 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{XRLATOKUTCRVZG5OP32RBC7QZT}

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

5 papers in Pith

Representation Collapse in Sequential Post-Training of Large Language Models

Residual Feature Integration is Sufficient to Prevent Negative Transfer

MaxSketch: Robust Distinct Counting in Streams via Random Projections

Geometric Analysis of Neural Regression Collapse via Intrinsic Dimension

There Will Be a Scientific Theory of Deep Learning

Receipt and verification

First computed	2026-07-05T04:21:25.984619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc5609b95498a35c9bae7ef5108bf0cce9be137761d892fb31273dc55dbc8200

Aliases

arxiv: 2106.02073 · arxiv_version: 2106.02073v4 · doi: 10.48550/arxiv.2106.02073 · pith_short_12: XRLATOKUTCRV · pith_short_16: XRLATOKUTCRVZG5O · pith_short_8: XRLATOKU

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/XRLATOKUTCRVZG5OP32RBC7QZT \
  | 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: bc5609b95498a35c9bae7ef5108bf0cce9be137761d892fb31273dc55dbc8200

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c50363b58de9a962f2d7038a276a79aab01ee2f862e9725801a5977ed879f2f",
    "cross_cats_sorted": [
      "cs.AI",
      "math.DG",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-06-03T18:31:41Z",
    "title_canon_sha256": "251c85de37f491a8d7407cf45f320c4f7c201e1d9f9d7f13c2efadf30f4db62a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.02073",
    "kind": "arxiv",
    "version": 4
  }
}