Pith Number

pith:CZYVBX3O

pith:2005:CZYVBX3OB4NH424W2LHTCN7W4T

not attested not anchored not stored refs pending

A geometric approach to quantum circuit lower bounds

Michael A. Nielsen

arxiv:quant-ph/0502070 v1 · 2005-02-11 · 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{CZYVBX3OB4NH424W2LHTCN7W4T}

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

14 papers in Pith

Controlled Chaos in 4D SCFTs

Holographic complexity of de-Sitter black holes

Nielsen complexity with multiple cost factors

Quantum Dynamics in Krylov Space: Methods and Applications

Holographic complexity of the Klebanov-Strassler background

Receipt and verification

First computed	2026-07-04T14:46:55.313154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

167150df6e0f1a7e6b96d2cf3137f6e4da438695185c031c956c2c6928e094fc

Aliases

arxiv: quant-ph/0502070 · arxiv_version: quant-ph/0502070v1 · doi: 10.48550/arxiv.quant-ph/0502070 · pith_short_12: CZYVBX3OB4NH · pith_short_16: CZYVBX3OB4NH424W · pith_short_8: CZYVBX3O

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/CZYVBX3OB4NH424W2LHTCN7W4T \
  | 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: 167150df6e0f1a7e6b96d2cf3137f6e4da438695185c031c956c2c6928e094fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3e33746e171ad0bba96333e7db7615313cdc5cf46b8a092b4c6e9a5aa23b594",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-02-11T23:54:58Z",
    "title_canon_sha256": "80d381b200a45a840a75fa5b34ba78cda8ab8dfff20bdfa3ab00d5648438aac0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0502070",
    "kind": "arxiv",
    "version": 1
  }
}