Pith Number

pith:N7SBMGE6

pith:2025:N7SBMGE6XTVSQJ3P65VADYXCSN

not attested not anchored not stored refs pending

The Features at Convergence Theorem: a first-principles alternative to the Neural Feature Ansatz for how networks learn representations

Enric Boix-Adsera, James B. Simon, Mikhail Belkin, Neil Mallinar

arxiv:2507.05644 v2 · 2025-07-08 · cs.LG · cs.AI · 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{N7SBMGE6XTVSQJ3P65VADYXCSN}

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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

1 paper in Pith

Emergence via Phase Transitions: Mechanism Landscapes and Universal Convergence Across Complex Systems

Receipt and verification

First computed	2026-07-05T12:05:18.638176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fe416189ebceb28276ff76a01e2e29353f9e0f5440e2e3e99ccfab4c10b6124

Aliases

arxiv: 2507.05644 · arxiv_version: 2507.05644v2 · doi: 10.48550/arxiv.2507.05644 · pith_short_12: N7SBMGE6XTVS · pith_short_16: N7SBMGE6XTVSQJ3P · pith_short_8: N7SBMGE6

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/N7SBMGE6XTVSQJ3P65VADYXCSN \
  | 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: 6fe416189ebceb28276ff76a01e2e29353f9e0f5440e2e3e99ccfab4c10b6124

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c8e392d2d631d763fbbe5f0e08f5f8ccd27abf04e7f78f407256623cff353e4",
    "cross_cats_sorted": [
      "cs.AI",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-08T03:52:48Z",
    "title_canon_sha256": "f298f954e520def34bbe1e34bda282802ac9984791d2462ead93983097e73696"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.05644",
    "kind": "arxiv",
    "version": 2
  }
}