Pith Number

pith:TJ4FJO7F

pith:2024:TJ4FJO7FSF47LYHRNIU2B2XKC2

not attested not anchored not stored refs pending

Clustering in Causal Attention Masking

Nikita Karagodin, Philippe Rigollet, Yury Polyanskiy

arxiv:2411.04990 v2 · 2024-11-07 · cs.LG · cs.AI · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TJ4FJO7FSF47LYHRNIU2B2XKC2}

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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

2 papers in Pith

Quantitative Clustering in Mean-Field Transformer Models

A Unified Framework for Critical Scaling of Inverse Temperature in Self-Attention

Receipt and verification

First computed	2026-07-05T09:33:40.925972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a7854bbe59179f5e0f16a29a0eaea16a110a59605d970a27934db5a53991d23

Aliases

arxiv: 2411.04990 · arxiv_version: 2411.04990v2 · doi: 10.48550/arxiv.2411.04990 · pith_short_12: TJ4FJO7FSF47 · pith_short_16: TJ4FJO7FSF47LYHR · pith_short_8: TJ4FJO7F

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/TJ4FJO7FSF47LYHRNIU2B2XKC2 \
  | 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: 9a7854bbe59179f5e0f16a29a0eaea16a110a59605d970a27934db5a53991d23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f61529522885fdd36895167034abe01d8766d834e41a11454f09216522d8544",
    "cross_cats_sorted": [
      "cs.AI",
      "math.AP",
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-11-07T18:56:37Z",
    "title_canon_sha256": "e348cf8c82d2dd360e883aecf8591248258589fbad76773afca5ef122e0d2c80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.04990",
    "kind": "arxiv",
    "version": 2
  }
}