Pith Number

pith:Z5KSY2IB

pith:2010:Z5KSY2IBJTCWEZ5P37YJETL4U2

not attested not anchored not stored refs pending

Unitary and Non-Unitary Matrices as a Source of Different Bases of Operators Acting on Hilbert Spaces

S. N. Filippov, V. I. Man'ko

arxiv:1012.6045 v2 · 2010-12-29 · 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{Z5KSY2IBJTCWEZ5P37YJETL4U2}

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	2026-05-18T04:26:22.708734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf552c69014cc56267afdff0924d7ca6a73f8962ee8b5a104b2848b3f90731e2

Aliases

arxiv: 1012.6045 · arxiv_version: 1012.6045v2 · doi: 10.48550/arxiv.1012.6045 · pith_short_12: Z5KSY2IBJTCW · pith_short_16: Z5KSY2IBJTCWEZ5P · pith_short_8: Z5KSY2IB

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/Z5KSY2IBJTCWEZ5P37YJETL4U2 \
  | 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: cf552c69014cc56267afdff0924d7ca6a73f8962ee8b5a104b2848b3f90731e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b483808791fe621c54d09ae732279149eb1e0473968ac3a65232580eee2dd163",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-12-29T20:59:25Z",
    "title_canon_sha256": "eadeb6e7151511d3bbfda84ee880c338a9a17064d49ea41ae7122fb66bccca02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.6045",
    "kind": "arxiv",
    "version": 2
  }
}