Pith Number

pith:RS27RAQC

pith:2025:RS27RAQCDOUVMAO45HBROE42XN

not attested not anchored not stored refs pending

Uncovering a Universal Abstract Algorithm for Modular Addition in Neural Networks

Doina Precup, Gabriela Moisescu-Pareja, Gavin McCracken, Jonathan Love, Vincent Letourneau

arxiv:2505.18266 v1 · 2025-05-23 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RS27RAQCDOUVMAO45HBROE42XN}

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

Unveiling Memorization-Generalization Coexistence: A Case Study on Arithmetic Tasks with Label Noise

Receipt and verification

First computed	2026-07-05T11:08:43.811482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cb5f882021ba95601dce9c317139abb4cd2ea99946908704b70b4a3950f2213

Aliases

arxiv: 2505.18266 · arxiv_version: 2505.18266v1 · doi: 10.48550/arxiv.2505.18266 · pith_short_12: RS27RAQCDOUV · pith_short_16: RS27RAQCDOUVMAO4 · pith_short_8: RS27RAQC

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/RS27RAQCDOUVMAO45HBROE42XN \
  | 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: 8cb5f882021ba95601dce9c317139abb4cd2ea99946908704b70b4a3950f2213

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32b3aff62f43882b8acd8d182882ad45dc8595dc1ebb332e07cdbd5d1a1c2c19",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-05-23T18:02:46Z",
    "title_canon_sha256": "53be9028d3fa434bd46c5cc6f6064a03bfbf92b1245205ba372db5e5892ac6ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.18266",
    "kind": "arxiv",
    "version": 1
  }
}