Pith Number

pith:IA2X4UBP

pith:2022:IA2X4UBPTL53PLRMOJDYCJQ3KY

not attested not anchored not stored refs pending

Imbalance Trouble: Revisiting Neural-Collapse Geometry

Christos Thrampoulidis, Ganesh R. Kini, Tina Behnia, Vala Vakilian

arxiv:2208.05512 v1 · 2022-08-10 · 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{IA2X4UBPTL53PLRMOJDYCJQ3KY}

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	2026-07-05T04:47:43.431103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40357e502f9afbb7ae2c724781261b5626369a2aba12854b6561cb383a47f698

Aliases

arxiv: 2208.05512 · arxiv_version: 2208.05512v1 · doi: 10.48550/arxiv.2208.05512 · pith_short_12: IA2X4UBPTL53 · pith_short_16: IA2X4UBPTL53PLRM · pith_short_8: IA2X4UBP

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/IA2X4UBPTL53PLRMOJDYCJQ3KY \
  | 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: 40357e502f9afbb7ae2c724781261b5626369a2aba12854b6561cb383a47f698

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ea986ac2a565d0f03116425f7974b719ff1f1b55f9ae4930441d5088dcafaaa",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-08-10T18:10:59Z",
    "title_canon_sha256": "98b0999b24e005638ff774c9e0bd1e139e4dfad9cf359541ae62c8913be2f6c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.05512",
    "kind": "arxiv",
    "version": 1
  }
}