Pith Number

pith:WJSXJN5D

pith:2026:WJSXJN5D5P5MTL7HNF2YXDIED5

not attested not anchored not stored refs pending

Neural Collapse by Design: Learning Class Prototypes on the Hypersphere

Mihalis A. Nicolaou, Panagiotis Koromilas, Theodoros Giannakopoulos, Yannis Panagakis

arxiv:2605.20302 v1 · 2026-05-19 · cs.LG · cs.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WJSXJN5D5P5MTL7HNF2YXDIED5}

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	2026-05-21T00:04:24.503993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b26574b7a3ebfac9afe769758b8d041f6770aaca1df7a30dbaca36f89b1c9f8e

Aliases

arxiv: 2605.20302 · arxiv_version: 2605.20302v1 · doi: 10.48550/arxiv.2605.20302 · pith_short_12: WJSXJN5D5P5M · pith_short_16: WJSXJN5D5P5MTL7H · pith_short_8: WJSXJN5D

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/WJSXJN5D5P5MTL7HNF2YXDIED5 \
  | 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: b26574b7a3ebfac9afe769758b8d041f6770aaca1df7a30dbaca36f89b1c9f8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dde264284d3a2714916a4ba15a1641750cb074ef1afaab02f408d40e2eabbcfe",
    "cross_cats_sorted": [
      "cs.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-19T12:51:58Z",
    "title_canon_sha256": "dacdccd72201b537a12899aa87b6b5291e3b76250f0b64af0d7ca7e2db1a4295"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20302",
    "kind": "arxiv",
    "version": 1
  }
}