Pith Number

pith:U76PY55V

pith:2026:U76PY55VW2IPKGUNCKHCN4MRVP

not attested not anchored not stored refs pending

Asymptotic Signal Subspace Recovery in Softmax Attention Models

Lan V. Truong

arxiv:2606.22406 v1 · 2026-06-21 · cs.LG · cs.IT · math.IT · 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{U76PY55VW2IPKGUNCKHCN4MRVP}

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	2026-06-23T02:13:37.550647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7fcfc77b5b690f51a8d128e26f191abe3f69ad5d6e1e3f1f46dde4832fd14a1

Aliases

arxiv: 2606.22406 · arxiv_version: 2606.22406v1 · doi: 10.48550/arxiv.2606.22406 · pith_short_12: U76PY55VW2IP · pith_short_16: U76PY55VW2IPKGUN · pith_short_8: U76PY55V

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/U76PY55VW2IPKGUNCKHCN4MRVP \
  | 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: a7fcfc77b5b690f51a8d128e26f191abe3f69ad5d6e1e3f1f46dde4832fd14a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51b2e45aae3c7602663cb27552a74121745c01bf2d993157884c8db4927acf68",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-21T09:38:59Z",
    "title_canon_sha256": "ca9796593bf713ce00b97df9750a218bc6567dcc96d5fe3709865ab2007eb390"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22406",
    "kind": "arxiv",
    "version": 1
  }
}