Pith Number

pith:LG5YODCV

pith:2025:LG5YODCVDL2R3HMVAAM5SALW37

not attested not anchored not stored refs pending

Studying number theory with deep learning: a case study with the M\"obius and squarefree indicator functions

David Lowry-Duda

arxiv:2502.10335 v2 · 2025-02-14 · math.NT · 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{LG5YODCVDL2R3HMVAAM5SALW37}

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	2026-07-05T11:43:30.728581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59bb870c551af51d9d950019d90176dff18fc2221ef7546f01968d3ba15f7305

Aliases

arxiv: 2502.10335 · arxiv_version: 2502.10335v2 · doi: 10.48550/arxiv.2502.10335 · pith_short_12: LG5YODCVDL2R · pith_short_16: LG5YODCVDL2R3HMV · pith_short_8: LG5YODCV

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/LG5YODCVDL2R3HMVAAM5SALW37 \
  | 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: 59bb870c551af51d9d950019d90176dff18fc2221ef7546f01968d3ba15f7305

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0d002c1752c8edbf242adb1f4f219ec2bc1bd348e289caa4a9dfd0125c35f1d",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-02-14T17:50:00Z",
    "title_canon_sha256": "1524b0374492b7af91b8d86cd5b09efbe93b04578eb9a4919769dc6f5f892274"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.10335",
    "kind": "arxiv",
    "version": 2
  }
}