Pith Number

pith:NCB6ATCT

pith:2022:NCB6ATCTIU4JMYYGBZJGUVVKSF

not attested not anchored not stored refs pending

Positive maps and entanglement in real Hilbert spaces

Giulio Chiribella, Kenneth R. Davidson, Mizanur Rahaman, Vern I. Paulsen

arxiv:2207.02510 v2 · 2022-07-06 · quant-ph · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NCB6ATCTIU4JMYYGBZJGUVVKSF}

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	2026-07-05T06:17:38.306387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6883e04c5345389663060e526a56aa9147f9624256fe8b8fe908262a820ced7a

Aliases

arxiv: 2207.02510 · arxiv_version: 2207.02510v2 · doi: 10.48550/arxiv.2207.02510 · pith_short_12: NCB6ATCTIU4J · pith_short_16: NCB6ATCTIU4JMYYG · pith_short_8: NCB6ATCT

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/NCB6ATCTIU4JMYYGBZJGUVVKSF \
  | 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: 6883e04c5345389663060e526a56aa9147f9624256fe8b8fe908262a820ced7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6eae82643a737e140dc4f3423e2154a11c36f71b9a91d3281e838949dadf6ff",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-07-06T08:25:55Z",
    "title_canon_sha256": "9f0e7c139ac7eaf5e7f9cc4fc8e5e398ffb6bc6fdb062388f722af93fb8bcc1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.02510",
    "kind": "arxiv",
    "version": 2
  }
}