Pith Number

pith:37PH6YFM

pith:2012:37PH6YFMTISBLM7TNCN7YENPD2

not attested not anchored not stored refs pending

Conditions for uniqueness of product representations for separable quantum channels and separable quantum states

Scott M. Cohen

arxiv:1210.0644 v4 · 2012-10-02 · 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{37PH6YFMTISBLM7TNCN7YENPD2}

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	2026-05-18T02:45:48.792332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfde7f60ac9a2415b3f3689bfc11af1ea7de6614e82dcf7c98ef2a465342e8f2

Aliases

arxiv: 1210.0644 · arxiv_version: 1210.0644v4 · doi: 10.48550/arxiv.1210.0644 · pith_short_12: 37PH6YFMTISB · pith_short_16: 37PH6YFMTISBLM7T · pith_short_8: 37PH6YFM

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/37PH6YFMTISBLM7TNCN7YENPD2 \
  | 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: dfde7f60ac9a2415b3f3689bfc11af1ea7de6614e82dcf7c98ef2a465342e8f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e52fdd206b5331bbd033cec510649e8ac4774c07df54e1a87f83334f6b4bff4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-10-02T03:50:14Z",
    "title_canon_sha256": "edd745e49362b5dfc1ec7bfb0dd19283d17900e8ab1fbf9be2ca9883ba3b2fc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0644",
    "kind": "arxiv",
    "version": 4
  }
}