Pith Number

pith:IXJIJ3JD

pith:2026:IXJIJ3JDQ22PCZUCRFRHBL5C6X

not attested not anchored not stored refs pending

Polar Fidelities, Holevo Bases, and Unitary Factors of Generalized Fidelity

Trung Dung Vuong

arxiv:2605.28885 v1 · 2026-05-27 · quant-ph · math-ph · math.FA · 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{IXJIJ3JDQ22PCZUCRFRHBL5C6X}

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	2026-05-29T00:04:15.338859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45d284ed2386b4f16682896270afa2f5d115cd926f24961eddb1176978a6919d

Aliases

arxiv: 2605.28885 · arxiv_version: 2605.28885v1 · doi: 10.48550/arxiv.2605.28885 · pith_short_12: IXJIJ3JDQ22P · pith_short_16: IXJIJ3JDQ22PCZUC · pith_short_8: IXJIJ3JD

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/IXJIJ3JDQ22PCZUCRFRHBL5C6X \
  | 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: 45d284ed2386b4f16682896270afa2f5d115cd926f24961eddb1176978a6919d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea37d8a862cf794fba2d40eb822607bb3322fec7256f5ba9c426fcd5aedd24e6",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-27T03:33:58Z",
    "title_canon_sha256": "326dd39eda205b28817fa08c44832e4f9106a0ab7f70f92b60ee8e3670fa0bb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28885",
    "kind": "arxiv",
    "version": 1
  }
}