Pith Number

pith:IZV5ET6T

pith:2025:IZV5ET6TRJ72FKQ2NMCBPCV26Q

not attested not anchored not stored refs pending

Composing Linear Layers from Irreducibles

Daisuke Yamada, Travis Pence, Vikas Singh

arxiv:2507.11688 v4 · 2025-07-15 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IZV5ET6TRJ72FKQ2NMCBPCV26Q}

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	2026-06-11T00:08:10.779430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

466bd24fd38a7fa2aa1a6b04178abaf4200aa17469e795fa9f18575132ed96cf

Aliases

arxiv: 2507.11688 · arxiv_version: 2507.11688v4 · doi: 10.48550/arxiv.2507.11688 · pith_short_12: IZV5ET6TRJ72 · pith_short_16: IZV5ET6TRJ72FKQ2 · pith_short_8: IZV5ET6T

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/IZV5ET6TRJ72FKQ2NMCBPCV26Q \
  | 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: 466bd24fd38a7fa2aa1a6b04178abaf4200aa17469e795fa9f18575132ed96cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0272133ef5d136b979686a3a461a1c362d6dad48281f356792f1efb2d3ffbf33",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-15T19:46:00Z",
    "title_canon_sha256": "bb9be324b5886e9aa1dc9ea1c97865c9051b936559f979708e791df5d74689e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.11688",
    "kind": "arxiv",
    "version": 4
  }
}