Pith Number

pith:6A6BIHVW

pith:2026:6A6BIHVW7GVRRUDZN6WJEHGG3P

not attested not anchored not stored refs pending

Parameter-Shift Rules for Gradients in Boson Sampling Experiments

Marius Trudeau, Nicol\'as Quesada, Pierre-Emmanuel Emeriau

arxiv:2607.15160 v1 · 2026-07-16 · 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{6A6BIHVW7GVRRUDZN6WJEHGG3P}

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	2026-07-17T01:22:12.302750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f03c141eb6f9ab18d0796fac921cc6dbdf65e4286bf5abbe246c71ecce413700

Aliases

arxiv: 2607.15160 · arxiv_version: 2607.15160v1 · doi: 10.48550/arxiv.2607.15160 · pith_short_12: 6A6BIHVW7GVR · pith_short_16: 6A6BIHVW7GVRRUDZ · pith_short_8: 6A6BIHVW

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/6A6BIHVW7GVRRUDZN6WJEHGG3P \
  | 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: f03c141eb6f9ab18d0796fac921cc6dbdf65e4286bf5abbe246c71ecce413700

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52f52420e46e3a40eb0def854549886c0a6a8af63144e3e509aac324338e7a17",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-16T16:04:15Z",
    "title_canon_sha256": "c5f49d90cf6f968664adb10c2e4b5de3a9e5f1e69f2a13cad944da16db99c207"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15160",
    "kind": "arxiv",
    "version": 1
  }
}