Pith Number

pith:BELFBVAJ

pith:2024:BELFBVAJ53HA3JIWYFW7XIKBAF

not attested not anchored not stored refs pending

Understanding Addition and Subtraction in Transformers

Clement Neo, Fazl Barez, Philip Quirke

arxiv:2402.02619 v11 · 2024-02-04 · cs.LG · cs.CL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BELFBVAJ53HA3JIWYFW7XIKBAF}

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

7 papers in Pith

Language Models Compare Quantities Using Number-specific and Unit-specific Heuristics

The Shape of Addition: Geometric Structures of Arithmetic in Large Language Models

Represented Is Not Computed: A Causal Test of Candidate Algorithmic Intermediates in a Transformer

Dynamic Latent Routing

Manifold Steering Reveals the Shared Geometry of Neural Network Representation and Behavior

Receipt and verification

First computed	2026-07-24T00:23:02.510269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

091650d409eece0da516c16dfba141014b959148588e3f427e7cb6d8e4fe176f

Aliases

arxiv: 2402.02619 · arxiv_version: 2402.02619v11 · doi: 10.48550/arxiv.2402.02619 · pith_short_12: BELFBVAJ53HA · pith_short_16: BELFBVAJ53HA3JIW · pith_short_8: BELFBVAJ

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/BELFBVAJ53HA3JIWYFW7XIKBAF \
  | 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: 091650d409eece0da516c16dfba141014b959148588e3f427e7cb6d8e4fe176f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ee7684af9e4ffa476bcd419e6893611b81bfc016ee49914820becfb4b0dc4e1",
    "cross_cats_sorted": [
      "cs.CL"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-02-04T21:33:18Z",
    "title_canon_sha256": "e44812d30b6a2d80fcebc207b905389c791044997296044a87cc7a2d31b961ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.02619",
    "kind": "arxiv",
    "version": 11
  }
}