Pith Number

pith:BZJAQXKY

pith:2026:BZJAQXKY3IICNVWN7ZTP3PKAYH

not attested not anchored not stored refs pending

Exponential quantum advantage for learning signals with a single qubit

Alen Senanian, Ishaan Kannan, Jordan Cotler, Mandar M. Sohoni, Peter L. McMahon, Saeed A. Khan, Saswata Roy, Sridhar Prabhu, Valla Fatemi, Xingrui Song

arxiv:2608.13521 v1 · 2026-08-13 · quant-ph · cs.IT · cs.LG · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BZJAQXKY3IICNVWN7ZTP3PKAYH}

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	2026-08-14T01:24:57.150781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e52085d58da1026d6cdfe66fdbd40c1f8dfe558037318b5e54c7313f4c8f0b0

Aliases

arxiv: 2608.13521 · arxiv_version: 2608.13521v1 · doi: 10.48550/arxiv.2608.13521 · pith_short_12: BZJAQXKY3IIC · pith_short_16: BZJAQXKY3IICNVWN · pith_short_8: BZJAQXKY

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/BZJAQXKY3IICNVWN7ZTP3PKAYH \
  | 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: 0e52085d58da1026d6cdfe66fdbd40c1f8dfe558037318b5e54c7313f4c8f0b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "761b09443581500dc65be4174fbac8e0b9bd17def90c84e3abbaf4b630fc01f9",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.LG",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-08-13T17:40:39Z",
    "title_canon_sha256": "59fb3b3fb156aa90dd7538e75cd37ec16091c06c4d4b182075509a36d89fc7f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.13521",
    "kind": "arxiv",
    "version": 1
  }
}