Pith Number

pith:F4QZLAKG

pith:2014:F4QZLAKG5ZCDV7XDT64OA6SWWX

not attested not anchored not stored refs pending

Duality of reduced density matrices and their eigenvalues

Christian Schilling, Rolf Schilling

arxiv:1408.3128 v1 · 2014-08-13 · quant-ph · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4QZLAKG5ZCDV7XDT64OA6SWWX}

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	2026-05-18T02:38:52.839655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f21958146ee443afee39fb8e07a56b5c5e6c0476bddd152d95cbe9e1de50097

Aliases

arxiv: 1408.3128 · arxiv_version: 1408.3128v1 · doi: 10.48550/arxiv.1408.3128 · pith_short_12: F4QZLAKG5ZCD · pith_short_16: F4QZLAKG5ZCDV7XD · pith_short_8: F4QZLAKG

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/F4QZLAKG5ZCDV7XDT64OA6SWWX \
  | 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: 2f21958146ee443afee39fb8e07a56b5c5e6c0476bddd152d95cbe9e1de50097

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51545c2327da6d64adb33727c7238eb131c2230acc38be3854919f50eae2d8d7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-08-13T20:07:05Z",
    "title_canon_sha256": "5936662d5d65dd319a2641d4273603f7c469c1409c3116b73023017bfa7abf02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3128",
    "kind": "arxiv",
    "version": 1
  }
}