Pith Number

pith:R6LZZEMP

pith:2021:R6LZZEMP4JSIP26RO7EELCAPCD

not attested not anchored not stored refs pending

Generalized quantum circuit differentiation rules

Oleksandr Kyriienko, Vincent E. Elfving

arxiv:2108.01218 v2 · 2021-08-03 · quant-ph · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R6LZZEMP4JSIP26RO7EELCAPCD}

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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.

Cited by

1 paper in Pith

An Operational Framework for Nonclassicality in Quantum Communication Networks

Receipt and verification

First computed	2026-07-05T03:31:29.384945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f979c918fe26487ebd177c845880f10fe2a7a91fa9fff0e8a31ceab0836b87d

Aliases

arxiv: 2108.01218 · arxiv_version: 2108.01218v2 · doi: 10.48550/arxiv.2108.01218 · pith_short_12: R6LZZEMP4JSI · pith_short_16: R6LZZEMP4JSIP26R · pith_short_8: R6LZZEMP

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/R6LZZEMP4JSIP26RO7EELCAPCD \
  | 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: 8f979c918fe26487ebd177c845880f10fe2a7a91fa9fff0e8a31ceab0836b87d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e5034da6969ac5949b949ab2dbf5c506b9f5a5fb59204535745adb06011edd1",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-08-03T00:29:45Z",
    "title_canon_sha256": "c4a3b87363cb51b1d2133a85184aaa071afb5ef056e0782e4630dccc9d713d4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.01218",
    "kind": "arxiv",
    "version": 2
  }
}