Pith Number

pith:76V4ETDQ

pith:2004:76V4ETDQTA42Z3ZU76WNE3VZ72

not attested not anchored not stored refs pending

Reflection Symmetries for Multiqubit Density Operators

Claudio Altafini, Timothy F. Havel

arxiv:quant-ph/0405123 v2 · 2004-05-21 · 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{76V4ETDQTA42Z3ZU76WNE3VZ72}

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	2026-05-18T00:06:53.850104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffabc24c709839acef34ffacd26eb9fe98da8f14abd22a0658f2bcaee669a38f

Aliases

arxiv: quant-ph/0405123 · arxiv_version: quant-ph/0405123v2 · doi: 10.48550/arxiv.quant-ph/0405123 · pith_short_12: 76V4ETDQTA42 · pith_short_16: 76V4ETDQTA42Z3ZU · pith_short_8: 76V4ETDQ

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/76V4ETDQTA42Z3ZU76WNE3VZ72 \
  | 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: ffabc24c709839acef34ffacd26eb9fe98da8f14abd22a0658f2bcaee669a38f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b89b468040b38d24b5eaf2cec9e70ab4383bb738b6b7803066d3a67ff87872dd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-05-21T09:01:17Z",
    "title_canon_sha256": "014c01ada94b068310db8ecd8c6945ba5810e79fcb0f42b9ab43cf89ee968f78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0405123",
    "kind": "arxiv",
    "version": 2
  }
}