Pith Number

pith:NTNFM44B

pith:2023:NTNFM44BTQRBRO3CWWADWLCEN6

not attested not anchored not stored refs pending

A short tutorial on Wirtinger Calculus with applications in quantum information

Kelvin Koor, Leong Chuan Kwek, Patrick Rebentrost, Yixian Qiu

arxiv:2312.04858 v1 · 2023-12-08 · 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{NTNFM44BTQRBRO3CWWADWLCEN6}

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.

Cited by

5 papers in Pith

Complex Stochastic Gradient Descent and Directional Bias in Reproducing Kernel Hilbert Spaces

Sufficient and Necessary Conditions for Eckart-Young like Result for Tubal Tensors

Localization in OFDM Passive Distributed Antenna Systems with Pilots and Unknown Data Payloads: A Marginal Maximum Likelihood Approach

Complex Stochastic Gradient Descent and Directional Bias in Reproducing Kernel Hilbert Spaces

Hessian-vector products for tensor networks via recursive tangent-state propagation

Receipt and verification

First computed	2026-07-05T07:21:53.486339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cda5673819c2218bb62b5803b2c446fa5dcef39a6dfa4dfab44fc237ceae6c3

Aliases

arxiv: 2312.04858 · arxiv_version: 2312.04858v1 · doi: 10.48550/arxiv.2312.04858 · pith_short_12: NTNFM44BTQRB · pith_short_16: NTNFM44BTQRBRO3C · pith_short_8: NTNFM44B

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/NTNFM44BTQRBRO3CWWADWLCEN6 \
  | 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: 6cda5673819c2218bb62b5803b2c446fa5dcef39a6dfa4dfab44fc237ceae6c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffeebd554ce59ded56e663da0c52089551f12e8ad4b7c940322eab88eef58dac",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2023-12-08T06:26:04Z",
    "title_canon_sha256": "c3d59e1cb223b4fbf6b9705e64846ac4ca77f072554df2e9c9a09aeb7cf1176b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.04858",
    "kind": "arxiv",
    "version": 1
  }
}