Pith Number

pith:ITFBBX2Y

pith:2019:ITFBBX2Y4QTGWPUTJKGRI2AXTF

not attested not anchored not stored refs pending

Are Transformers universal approximators of sequence-to-sequence functions?

Ankit Singh Rawat, Chulhee Yun, Sanjiv Kumar, Sashank J. Reddi, Srinadh Bhojanapalli

arxiv:1912.10077 v2 · 2019-12-20 · cs.LG · stat.ML

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\usepackage{pith}
\pithnumber{ITFBBX2Y4QTGWPUTJKGRI2AXTF}

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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

10 papers in Pith

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A generative pre-trained transformer with Kerr-soliton attention

The Variance Brain Foundation Models Forgot: Third-Order Statistics Predict Cognition Where Billion-Parameter Models Fail

Beyond Memorization: Extending Reasoning Depth with Recurrence, Memory and Test-Time Compute Scaling

Receipt and verification

First computed	2026-07-05T00:43:21.543204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44ca10df58e4266b3e934a8d146817994eb89f77ecf5a7d6c068ffd8258a67c0

Aliases

arxiv: 1912.10077 · arxiv_version: 1912.10077v2 · doi: 10.48550/arxiv.1912.10077 · pith_short_12: ITFBBX2Y4QTG · pith_short_16: ITFBBX2Y4QTGWPUT · pith_short_8: ITFBBX2Y

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/ITFBBX2Y4QTGWPUTJKGRI2AXTF \
  | 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: 44ca10df58e4266b3e934a8d146817994eb89f77ecf5a7d6c068ffd8258a67c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd5747e382e698b86361fdb01a96ed36de82f0f055f4e70dec9b8ad6d1eb1cad",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-12-20T19:49:32Z",
    "title_canon_sha256": "d7cb441cb479e7a1d4ee538f376ac5a57c869bab985d68cfd418962c549ae22d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.10077",
    "kind": "arxiv",
    "version": 2
  }
}