Pith Number

pith:XPWZPQSR

pith:2021:XPWZPQSRZF3EVNUDGXODMNMWYU

not attested not anchored not stored refs pending

Fundamental component enhancement via adaptive nonlinear activation functions

Hau-Tieng Wu, Stefan Steinerberger

arxiv:2112.01668 v1 · 2021-12-03 · math.OC · cs.NA · 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{XPWZPQSRZF3EVNUDGXODMNMWYU}

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	2026-07-05T03:37:30.570856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbed97c251c9764ab68335dc363596c52b14d7d573f3c42ea6288216ca429f10

Aliases

arxiv: 2112.01668 · arxiv_version: 2112.01668v1 · doi: 10.48550/arxiv.2112.01668 · pith_short_12: XPWZPQSRZF3E · pith_short_16: XPWZPQSRZF3EVNUD · pith_short_8: XPWZPQSR

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/XPWZPQSRZF3EVNUDGXODMNMWYU \
  | 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: bbed97c251c9764ab68335dc363596c52b14d7d573f3c42ea6288216ca429f10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2067570ef4f991f1d55b2fd04eef430dd926d06e9dbae322929c2307037ea67",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-12-03T01:29:11Z",
    "title_canon_sha256": "d511d87957736f212c61b57dff594a20df581767c74d626a8f63de387e27e9b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.01668",
    "kind": "arxiv",
    "version": 1
  }
}