Pith Number

pith:G4AN7V2S

pith:2018:G4AN7V2SYUKDKTN2CCAFQY4YKI

not attested not anchored not stored refs pending

Backpropagation with N-D Vector-Valued Neurons Using Arbitrary Bilinear Products

Jyh-Shing R. Jang, Tak-Shing T. Chan, Yi-Hsuan Yang, Zhe-Cheng Fan

arxiv:1805.09621 v1 · 2018-05-24 · cs.LG · cs.CV · 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{G4AN7V2SYUKDKTN2CCAFQY4YKI}

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	2026-05-18T00:15:03.380016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3700dfd752c514354dba1080586398523a4137386275d45b988de1d59b2f77a7

Aliases

arxiv: 1805.09621 · arxiv_version: 1805.09621v1 · doi: 10.48550/arxiv.1805.09621 · pith_short_12: G4AN7V2SYUKD · pith_short_16: G4AN7V2SYUKDKTN2 · pith_short_8: G4AN7V2S

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/G4AN7V2SYUKDKTN2CCAFQY4YKI \
  | 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: 3700dfd752c514354dba1080586398523a4137386275d45b988de1d59b2f77a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31408a090d10f5cf410fd600b57071ecd310120f3319751408a8f80539eb10e3",
    "cross_cats_sorted": [
      "cs.CV",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2018-05-24T12:01:53Z",
    "title_canon_sha256": "d00c7e3765097ac729651baaf3119175a053984357f1d4525be35fd13d9aa3bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.09621",
    "kind": "arxiv",
    "version": 1
  }
}