Pith Number

pith:5JJMCT4S

pith:2024:5JJMCT4S4NAZJ4EHAJQH6PVMVO

not attested not anchored not stored refs pending

The Topos of Transformer Networks

Mattia Jacopo Villani, Peter McBurney

arxiv:2403.18415 v3 · 2024-03-27 · cs.LG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5JJMCT4S4NAZJ4EHAJQH6PVMVO}

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.

Cited by

1 paper in Pith

Self-Attention as a Parametric Endofunctor: A Categorical Framework for Transformer Architectures

Receipt and verification

First computed	2026-07-05T08:15:46.749703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea52c14f92e34194f08702607f3eacabb774ff89490706553257002fe167eb0a

Aliases

arxiv: 2403.18415 · arxiv_version: 2403.18415v3 · doi: 10.48550/arxiv.2403.18415 · pith_short_12: 5JJMCT4S4NAZ · pith_short_16: 5JJMCT4S4NAZJ4EH · pith_short_8: 5JJMCT4S

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/5JJMCT4S4NAZJ4EHAJQH6PVMVO \
  | 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: ea52c14f92e34194f08702607f3eacabb774ff89490706553257002fe167eb0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0da32a816443d26c41a78b81908a519ee9e4a15e0d8091d31736884a827a6db",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-03-27T10:06:33Z",
    "title_canon_sha256": "3c8d779fd42370a32dadc72440c3460ac7ef8ffe390b366222385230139cb5d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.18415",
    "kind": "arxiv",
    "version": 3
  }
}