Pith Number

pith:AYBVLQIB

pith:2014:AYBVLQIBUG4C6A2COZQFQ6FDWT

not attested not anchored not stored refs pending

On the generalization of linear least mean squares estimation to quantum systems with non-commutative outputs

Hideo Mabuchi, Matthew R. James, Nina H. Amini, Yu Pan, Zibo Miao

arxiv:1406.4599 v3 · 2014-06-18 · math-ph · math.MP · math.OC · 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{AYBVLQIBUG4C6A2COZQFQ6FDWT}

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	2026-05-18T01:41:58.074367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

060355c101a1b82f034276605878a3b4de86aa4e9518157a1631120553c03bc5

Aliases

arxiv: 1406.4599 · arxiv_version: 1406.4599v3 · doi: 10.48550/arxiv.1406.4599 · pith_short_12: AYBVLQIBUG4C · pith_short_16: AYBVLQIBUG4C6A2C · pith_short_8: AYBVLQIB

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/AYBVLQIBUG4C6A2COZQFQ6FDWT \
  | 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: 060355c101a1b82f034276605878a3b4de86aa4e9518157a1631120553c03bc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2555175ddd31254ce05a34dd42df294415791364c2a5f337fa11aed70e260efd",
    "cross_cats_sorted": [
      "math.MP",
      "math.OC",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-06-18T05:25:08Z",
    "title_canon_sha256": "8b7cc25c72fdb52eeb71b97f43528495fd6cae6bdda6022235b8a3cc7b6149bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4599",
    "kind": "arxiv",
    "version": 3
  }
}