Pith Number

pith:ZRB7OLNN

pith:2010:ZRB7OLNNHQJ66TZ44FVS45O3ET

not attested not anchored not stored refs pending

Characterizing Operations Preserving Separability Measures via Linear Preserver Problems

Nathaniel Johnston

arxiv:1008.3633 v2 · 2010-08-21 · 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{ZRB7OLNNHQJ66TZ44FVS45O3ET}

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	2026-05-18T04:08:22.381825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc43f72dad3c13ef4f3ce16b2e75db24c8331c2b31d5260fca70638c40b6f9fb

Aliases

arxiv: 1008.3633 · arxiv_version: 1008.3633v2 · doi: 10.48550/arxiv.1008.3633 · pith_short_12: ZRB7OLNNHQJ6 · pith_short_16: ZRB7OLNNHQJ66TZ4 · pith_short_8: ZRB7OLNN

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/ZRB7OLNNHQJ66TZ44FVS45O3ET \
  | 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: cc43f72dad3c13ef4f3ce16b2e75db24c8331c2b31d5260fca70638c40b6f9fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de2c3faab1cbd813d2832492f1e0a207b333d740f467c0a8352eaa21ac02e514",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-08-21T14:00:36Z",
    "title_canon_sha256": "d96fc782095155a0e61e544cf74c73f4322e597f1320f3aa3366189fa4566010"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3633",
    "kind": "arxiv",
    "version": 2
  }
}