Pith Number

pith:5BIZ2WNC

pith:2020:5BIZ2WNCHNBDMUKXI6NBB7H6EK

not attested not anchored not stored refs pending

$O(n)$ Connections are Expressive Enough: Universal Approximability of Sparse Transformers

Ankit Singh Rawat, Chulhee Yun, Sanjiv Kumar, Sashank J. Reddi, Srinadh Bhojanapalli, Yin-Wen Chang

arxiv:2006.04862 v2 · 2020-06-08 · 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{5BIZ2WNCHNBDMUKXI6NBB7H6EK}

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	2026-07-05T02:00:46.592009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8519d59a23b42365157479a10fcfe22b6e516995c38445b3294e6d24501b0a9

Aliases

arxiv: 2006.04862 · arxiv_version: 2006.04862v2 · doi: 10.48550/arxiv.2006.04862 · pith_short_12: 5BIZ2WNCHNBD · pith_short_16: 5BIZ2WNCHNBDMUKX · pith_short_8: 5BIZ2WNC

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/5BIZ2WNCHNBDMUKXI6NBB7H6EK \
  | 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: e8519d59a23b42365157479a10fcfe22b6e516995c38445b3294e6d24501b0a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35a31ae3b72303d812295d0f61b60527168a5ea1b7d5dd6d64894b6c357c661a",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-06-08T18:30:12Z",
    "title_canon_sha256": "37aa2ec1d806f408f436977df5be64232ff283a0aacd6af83a0c96da56ab6dfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.04862",
    "kind": "arxiv",
    "version": 2
  }
}