Pith Number

pith:M4IOXYAI

pith:2018:M4IOXYAIJRPCYUMZOMFGAKYGNJ

not attested not anchored not stored refs pending

Pairwise Completely Positive Matrices and Conjugate Local Diagonal Unitary Invariant Quantum States

Nathaniel Johnston, Olivia MacLean

arxiv:1807.06897 v1 · 2018-07-18 · 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{M4IOXYAIJRPCYUMZOMFGAKYGNJ}

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	2026-05-17T23:44:48.207782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6710ebe0084c5e2c5199730a602b066a7666271733b08d0c3ef6ffe359e314a8

Aliases

arxiv: 1807.06897 · arxiv_version: 1807.06897v1 · doi: 10.48550/arxiv.1807.06897 · pith_short_12: M4IOXYAIJRPC · pith_short_16: M4IOXYAIJRPCYUMZ · pith_short_8: M4IOXYAI

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/M4IOXYAIJRPCYUMZOMFGAKYGNJ \
  | 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: 6710ebe0084c5e2c5199730a602b066a7666271733b08d0c3ef6ffe359e314a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "292cf863de5d69020b6faa2ec76e56dac1c5b2dc498d5a03764742cc9da29071",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-07-18T12:48:53Z",
    "title_canon_sha256": "7c6eae0892706f6b82302ed28f331664d098e64002af13b992d879b06541759e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06897",
    "kind": "arxiv",
    "version": 1
  }
}