Pith Number

pith:X3ZJG6MP

pith:2025:X3ZJG6MPCOR3JIB4Z4VZE544XK

not attested not anchored not stored refs pending

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group

Daiki Suruga

arxiv:2509.05710 v2 · 2025-09-06 · quant-ph · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X3ZJG6MPCOR3JIB4Z4VZE544XK}

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	2026-07-05T12:07:12.179006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bef293798f13a3b4a03ccf2b92779cba9a55c4595d9c52809e2a5e1b2764f5d4

Aliases

arxiv: 2509.05710 · arxiv_version: 2509.05710v2 · doi: 10.48550/arxiv.2509.05710 · pith_short_12: X3ZJG6MPCOR3 · pith_short_16: X3ZJG6MPCOR3JIB4 · pith_short_8: X3ZJG6MP

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/X3ZJG6MPCOR3JIB4Z4VZE544XK \
  | 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: bef293798f13a3b4a03ccf2b92779cba9a55c4595d9c52809e2a5e1b2764f5d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd44de01a657a2ce5be2389d4a02e75ef6704651e6c2778be29a3cc922e5f018",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-09-06T13:09:50Z",
    "title_canon_sha256": "e3ae15e6a8a0be9086c8dd1532eb142e2716486f6458e25962182fec1d443a65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.05710",
    "kind": "arxiv",
    "version": 2
  }
}