Pith Number

pith:Z7E5BT2F

pith:2025:Z7E5BT2FWOGJIHBOPXPNONLRGD

not attested not anchored not stored refs pending

Grokking as an entanglement transition in tensor network machine learning

Alfonso Monaco, Antonio Lacalamita, Domenico Pomarico, Ernesto Picardi, Ester Pantaleo, Giuseppe Magnifico, Graziano Pesole, Loredana Bellantuono, Marianna La Rocca, Nicola Amoroso, Roberto Bellotti, Sabina Tangaro, Sebastiano Stramaglia, Tommaso Maggipinto

arxiv:2503.10483 v1 · 2025-03-13 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7E5BT2FWOGJIHBOPXPNONLRGD}

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

2 papers in Pith

Grokking and epoch-wise double descent in quantum neural networks

When AI meets quantum information: A comprehensive review

Receipt and verification

First computed	2026-07-05T10:30:46.281421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfc9d0cf45b38c941c2e7dded7357130d9c0d71c6ccf8c557cae3376afe4231e

Aliases

arxiv: 2503.10483 · arxiv_version: 2503.10483v1 · doi: 10.48550/arxiv.2503.10483 · pith_short_12: Z7E5BT2FWOGJ · pith_short_16: Z7E5BT2FWOGJIHBO · pith_short_8: Z7E5BT2F

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/Z7E5BT2FWOGJIHBOPXPNONLRGD \
  | 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: cfc9d0cf45b38c941c2e7dded7357130d9c0d71c6ccf8c557cae3376afe4231e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfac0a8706b097b4171b89e7f49f4b324c338402169baa1fb3bd7ecbbbd09a5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-03-13T15:51:23Z",
    "title_canon_sha256": "c2d738bf088fdd31c4d5f97d18cd908ca7e60118a0d3bc1f73602d8c473c70af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.10483",
    "kind": "arxiv",
    "version": 1
  }
}