Pith Number

pith:E5ASE4OU

pith:2025:E5ASE4OU6ZLO3V3NNJBKNAIUTR

not attested not anchored not stored refs pending

A Group Theoretic Analysis of the Symmetries Underlying Base Addition and Their Learnability by Neural Networks

Cutter Dawes, Jonathan D. Cohen, Kamesh Krishnamurthy, Simon Segert

arxiv:2507.10678 v2 · 2025-07-14 · cs.LG · cs.AI · cs.NE · q-bio.NC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5ASE4OU6ZLO3V3NNJBKNAIUTR}

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	2026-07-05T11:37:46.014848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27412271d4f656edd76d6a42a681149c567d8c8248ee870cc4436dda4e234b86

Aliases

arxiv: 2507.10678 · arxiv_version: 2507.10678v2 · doi: 10.48550/arxiv.2507.10678 · pith_short_12: E5ASE4OU6ZLO · pith_short_16: E5ASE4OU6ZLO3V3N · pith_short_8: E5ASE4OU

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/E5ASE4OU6ZLO3V3NNJBKNAIUTR \
  | 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: 27412271d4f656edd76d6a42a681149c567d8c8248ee870cc4436dda4e234b86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7843b7ed07f4cfd66c7178ab1c622c154d6e4e12c5b2b36eb7e9c8dd3fdf4ab7",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.NE",
      "q-bio.NC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-14T18:01:38Z",
    "title_canon_sha256": "e97d8a8a36879dfaec0219c54d1f28395844100e7722535de502dc2c2eb5ec67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.10678",
    "kind": "arxiv",
    "version": 2
  }
}