Pith Number

pith:TCD7UHTU

pith:2022:TCD7UHTUUVXZ762TRND7G6NFNC

not attested not anchored not stored refs pending

Perturbation Analysis of Neural Collapse

Haoxiang Huang, Jonathan Niles-Weed, Tom Tirer

arxiv:2210.16658 v2 · 2022-10-29 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TCD7UHTUUVXZ762TRND7G6NFNC}

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	2026-07-05T06:14:37.519234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9887fa1e74a56f9ffb538b47f379a568a9ffe4ab378d985378eb3b6b2f340941

Aliases

arxiv: 2210.16658 · arxiv_version: 2210.16658v2 · doi: 10.48550/arxiv.2210.16658 · pith_short_12: TCD7UHTUUVXZ · pith_short_16: TCD7UHTUUVXZ762T · pith_short_8: TCD7UHTU

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/TCD7UHTUUVXZ762TRND7G6NFNC \
  | 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: 9887fa1e74a56f9ffb538b47f379a568a9ffe4ab378d985378eb3b6b2f340941

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4a2c850aa00283375146689fc429334a4997155c53af0b8b30e8f741823c142",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-10-29T17:46:03Z",
    "title_canon_sha256": "e58b347d3b0ab9a9d2be8e6b8218c51d1cc12ec2e034dc77203c155b97ac941a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.16658",
    "kind": "arxiv",
    "version": 2
  }
}