Pith Number

pith:4WCVR437

pith:2010:4WCVR437RARCNLBJT5HGUXDNOO

not attested not anchored not stored refs pending

Positive finite rank elementary operators and characterizing entanglement of states

Jinchuan Hou, Xiaofei Qi

arxiv:1008.3682 v2 · 2010-08-22 · quant-ph · 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{4WCVR437RARCNLBJT5HGUXDNOO}

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	2026-05-18T04:18:54.645118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e58558f37f882226ac299f4e6a5c6d738947286a0c91d7a2cfebb29fb0ba94b7

Aliases

arxiv: 1008.3682 · arxiv_version: 1008.3682v2 · doi: 10.48550/arxiv.1008.3682 · pith_short_12: 4WCVR437RARC · pith_short_16: 4WCVR437RARCNLBJ · pith_short_8: 4WCVR437

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/4WCVR437RARCNLBJT5HGUXDNOO \
  | 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: e58558f37f882226ac299f4e6a5c6d738947286a0c91d7a2cfebb29fb0ba94b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f9412d5951fdb79a2c6cd107f20076715b4b3df3790eb78ae9cb3f73fbcfe1d",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-08-22T08:05:44Z",
    "title_canon_sha256": "d586b11ee4558ea0085eaef775d4789bebec1cf50cbfe8b7784a07c71977505d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3682",
    "kind": "arxiv",
    "version": 2
  }
}