Pith Number

pith:ESBTB6AS

pith:2026:ESBTB6ASF2MJHMYRZRYBV2PAPV

not attested not anchored not stored refs pending

Beyond the Expressivity-Trainability Paradox: A Dynamical Lie Algebra Perspective on Navigating Barren Plateaus in Quantum Machine Learning

Kung-Ming Lan

arxiv:2606.31536 v1 · 2026-06-30 · cs.LG · 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{ESBTB6ASF2MJHMYRZRYBV2PAPV}

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	2026-07-01T01:18:06.408918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

248330f8122e9893b311cc701ae9e07d7d1f84d6d839185911a8bbc0e57a5ba2

Aliases

arxiv: 2606.31536 · arxiv_version: 2606.31536v1 · doi: 10.48550/arxiv.2606.31536 · pith_short_12: ESBTB6ASF2MJ · pith_short_16: ESBTB6ASF2MJHMYR · pith_short_8: ESBTB6AS

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/ESBTB6ASF2MJHMYRZRYBV2PAPV \
  | 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: 248330f8122e9893b311cc701ae9e07d7d1f84d6d839185911a8bbc0e57a5ba2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf21ff8464dd7c2a77b57a0f98b638ed7f5c5f80061e6193f70c89388be82a9c",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-30T11:50:52Z",
    "title_canon_sha256": "b4905ded538a317b1277162e0c091ddc54e7589d9969285ee72ae7557aa5ecf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31536",
    "kind": "arxiv",
    "version": 1
  }
}