Pith Number

pith:VZDNGQDI

pith:2026:VZDNGQDIZY6QWYE7SZLXUABCYN

not attested not anchored not stored refs pending

Analytical Series Expansion for Efficient Gradient Evaluation in Multi-Qubit Optimal Control

Alessandro Ciani, Ashutosh Mishra, Elena Lupo, Frank K. Wilhelm

arxiv:2607.26867 v1 · 2026-07-29 · 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{VZDNGQDIZY6QWYE7SZLXUABCYN}

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	2026-07-30T01:22:34.045435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

ae46d34068ce3d0b609f96577a0022c348dcffae5d8027cf2c1404ba4f226289

Aliases

arxiv: 2607.26867 · arxiv_version: 2607.26867v1 · doi: 10.48550/arxiv.2607.26867 · pith_short_12: VZDNGQDIZY6Q · pith_short_16: VZDNGQDIZY6QWYE7 · pith_short_8: VZDNGQDI

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/VZDNGQDIZY6QWYE7SZLXUABCYN \
  | 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: ae46d34068ce3d0b609f96577a0022c348dcffae5d8027cf2c1404ba4f226289

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9e41e3a1ba610a1a7fc226a549bc1df5da5e4b3cfab904417ce1623f47c4775",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-29T12:50:52Z",
    "title_canon_sha256": "968a9321366a9b5a41f3d88a61478b93a06ba60d9e439118f6dd7cd48803045e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26867",
    "kind": "arxiv",
    "version": 1
  }
}