Pith Number

pith:4NG26YWN

pith:2006:4NG26YWNIZJ4AXMYSGOCIUJEQO

not attested not anchored not stored refs pending

Finite Controllability of Infinite-Dimensional Quantum Systems

A.M. Bloch, C. Rangan, R.W. Brockett

arxiv:quant-ph/0608075 v2 · 2006-08-09 · 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{4NG26YWNIZJ4AXMYSGOCIUJEQO}

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	2026-05-18T00:57:44.675306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e34daf62cd4653c05d98919c2451248383a06f742c658ff4eccfe182a5111abc

Aliases

arxiv: quant-ph/0608075 · arxiv_version: quant-ph/0608075v2 · doi: 10.48550/arxiv.quant-ph/0608075 · pith_short_12: 4NG26YWNIZJ4 · pith_short_16: 4NG26YWNIZJ4AXMY · pith_short_8: 4NG26YWN

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/4NG26YWNIZJ4AXMYSGOCIUJEQO \
  | 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: e34daf62cd4653c05d98919c2451248383a06f742c658ff4eccfe182a5111abc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e70668fbfbd6c9e01b5ba7a259f4f1abea9f03a13ff4a24334724e08c510f288",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-08-09T02:43:10Z",
    "title_canon_sha256": "4e1fbb33b218e9c81dc2710148bbe7138fbcc196c981e2d509b822780435423c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0608075",
    "kind": "arxiv",
    "version": 2
  }
}