Pith Number

pith:RZ5PZCIT

pith:2021:RZ5PZCITN7HQI75FTIMIMFFEAY

not attested not anchored not stored refs pending

Approximation of functions with one-bit neural networks

C. Sinan G\"unt\"urk, Weilin Li

arxiv:2112.09181 v2 · 2021-12-16 · cs.LG · cs.IT · cs.NA · math.IT · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RZ5PZCITN7HQI75FTIMIMFFEAY}

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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

On Explicit Super-Expressive Approximation for Neural Networks

Receipt and verification

First computed	2026-07-05T05:51:39.053885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e7afc89136fcf047fa59a188614a406118fa029249c7f2b989c2b21919724fe

Aliases

arxiv: 2112.09181 · arxiv_version: 2112.09181v2 · doi: 10.48550/arxiv.2112.09181 · pith_short_12: RZ5PZCITN7HQ · pith_short_16: RZ5PZCITN7HQI75F · pith_short_8: RZ5PZCIT

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/RZ5PZCITN7HQI75FTIMIMFFEAY \
  | 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: 8e7afc89136fcf047fa59a188614a406118fa029249c7f2b989c2b21919724fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24ae6ca19b4af16656bc56bf0963137da5bce16eef811bc7a250f44ef5831d23",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.NA",
      "math.IT",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-12-16T20:10:56Z",
    "title_canon_sha256": "c16828f8aaf25f3c5b5879bff64bc7b95e47b1739fb227682afeba2e9246006d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.09181",
    "kind": "arxiv",
    "version": 2
  }
}