Pith Number

pith:PH4WB5AK

pith:2003:PH4WB5AKHNCXPLGXWSNNFLHN5S

not attested not anchored not stored refs pending

On the one-particle reduced density matrices of a pure three-qutrit quantum state

Atsushi Higuchi

arxiv:quant-ph/0309186 v2 · 2003-09-25 · 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{PH4WB5AKHNCXPLGXWSNNFLHN5S}

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	2026-07-04T14:46:25.199529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79f960f40a3b4577acd7b49ad2acedecab418cbbf1e609a47041e48e0bcec631

Aliases

arxiv: quant-ph/0309186 · arxiv_version: quant-ph/0309186v2 · doi: 10.48550/arxiv.quant-ph/0309186 · pith_short_12: PH4WB5AKHNCX · pith_short_16: PH4WB5AKHNCXPLGX · pith_short_8: PH4WB5AK

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/PH4WB5AKHNCXPLGXWSNNFLHN5S \
  | 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: 79f960f40a3b4577acd7b49ad2acedecab418cbbf1e609a47041e48e0bcec631

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1579682aea2b8bdd97af52dbcbf7cbb3d9c529f9c03ab328db1992545c7861d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-09-25T15:07:27Z",
    "title_canon_sha256": "8e627846d1056cb546d3309326f8d6509673e034c83ae5fd9255479591bd8445"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0309186",
    "kind": "arxiv",
    "version": 2
  }
}