Pith Number

pith:W2T7D55J

pith:2026:W2T7D55JFYYMXKVTHC6ZOUIAOS

not attested not anchored not stored refs pending

Grokking and epoch-wise double descent in quantum neural networks

Christian Tutschku, Daniel Pranji\'c, Marco Roth

arxiv:2607.08350 v1 · 2026-07-09 · quant-ph · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W2T7D55JFYYMXKVTHC6ZOUIAOS}

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	2026-07-10T01:19:47.852647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6a7f1f7a92e30cbaab338bd9751007484e19432b367d085352693f1615a907f

Aliases

arxiv: 2607.08350 · arxiv_version: 2607.08350v1 · doi: 10.48550/arxiv.2607.08350 · pith_short_12: W2T7D55JFYYM · pith_short_16: W2T7D55JFYYMXKVT · pith_short_8: W2T7D55J

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/W2T7D55JFYYMXKVTHC6ZOUIAOS \
  | 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: b6a7f1f7a92e30cbaab338bd9751007484e19432b367d085352693f1615a907f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28a74ac77c4cd70e8fa9d599b25151fe07f339faab5f72ddb9109a90fe2cccf7",
    "cross_cats_sorted": [
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-09T10:55:16Z",
    "title_canon_sha256": "5459deec70ef748fdca27fbb01f19efbc5fe00b8981a1ccbee3a3ab4b95a1884"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08350",
    "kind": "arxiv",
    "version": 1
  }
}