Pith Number

pith:AWZUW6RR

pith:2007:AWZUW6RRXRAFZQPH2DE4CU5VEK

not attested not anchored not stored refs pending

Maximum stabilizer dimension for nonproduct states

David W. Lyons, Scott N. Walck

arxiv:0706.1785 v2 · 2007-06-12 · 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{AWZUW6RRXRAFZQPH2DE4CU5VEK}

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

1 paper in Pith

Entanglement groups for mixed states

Receipt and verification

First computed	2026-07-04T15:15:01.131594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05b34b7a31bc405cc1e7d0c9c153b522b5e7926bec915d1208d1755d2658d4c1

Aliases

arxiv: 0706.1785 · arxiv_version: 0706.1785v2 · doi: 10.48550/arxiv.0706.1785 · pith_short_12: AWZUW6RRXRAF · pith_short_16: AWZUW6RRXRAFZQPH · pith_short_8: AWZUW6RR

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/AWZUW6RRXRAFZQPH2DE4CU5VEK \
  | 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: 05b34b7a31bc405cc1e7d0c9c153b522b5e7926bec915d1208d1755d2658d4c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4185258dad755c7857f0e6263c4acfe53e6a969f0b1d407f36809da248a7d55",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-06-12T20:23:31Z",
    "title_canon_sha256": "032d39300b8772936008d65c0ca07a298476f256ad07cf66aca7b9f458c6850d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.1785",
    "kind": "arxiv",
    "version": 2
  }
}