Pith Number

pith:4LVYL5AL

pith:2020:4LVYL5ALGN4FFX4W7OPJ6C3V3V

not attested not anchored not stored refs pending

A Dual-Dimer Method for Training Physics-Constrained Neural Networks with Minimax Architecture

Dehao Liu, Yan Wang

arxiv:2005.00615 v2 · 2020-05-01 · 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{4LVYL5ALGN4FFX4W7OPJ6C3V3V}

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	2026-07-05T02:05:40.032860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2eb85f40b337852df96fb9e9f0b75dd5ff58f198e7c0a1d5ce1eaf4d2f26ff2

Aliases

arxiv: 2005.00615 · arxiv_version: 2005.00615v2 · doi: 10.48550/arxiv.2005.00615 · pith_short_12: 4LVYL5ALGN4F · pith_short_16: 4LVYL5ALGN4FFX4W · pith_short_8: 4LVYL5AL

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/4LVYL5ALGN4FFX4W7OPJ6C3V3V \
  | 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: e2eb85f40b337852df96fb9e9f0b75dd5ff58f198e7c0a1d5ce1eaf4d2f26ff2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "794719c0775ca9c9d4208dd3e42514eb0ad4bc982a12fd9f5e6b0981753a6b4b",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-05-01T21:26:04Z",
    "title_canon_sha256": "4c325053dbe01216760744c70b6db8afd7c9da0c2e4fb69ae48d44961bf9860b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.00615",
    "kind": "arxiv",
    "version": 2
  }
}