Pith Number

pith:L7ZNKVRG

pith:2011:L7ZNKVRGJ52GOBAU5UVVCVLQPW

not attested not anchored not stored refs pending

The absolute positive partial transpose property for random induced states

Benoit Collins, Deping Ye, Ion Nechita

arxiv:1108.1935 v1 · 2011-08-09 · math-ph · math.MP · math.PR · 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{L7ZNKVRGJ52GOBAU5UVVCVLQPW}

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	2026-05-17T23:52:44.947968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ff2d556264f74670414ed2b5155707d8a964fd4cc385daa9ace7bc9efbc1d85

Aliases

arxiv: 1108.1935 · arxiv_version: 1108.1935v1 · doi: 10.48550/arxiv.1108.1935 · pith_short_12: L7ZNKVRGJ52G · pith_short_16: L7ZNKVRGJ52GOBAU · pith_short_8: L7ZNKVRG

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/L7ZNKVRGJ52GOBAU5UVVCVLQPW \
  | 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: 5ff2d556264f74670414ed2b5155707d8a964fd4cc385daa9ace7bc9efbc1d85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91f5e746147e0368fac416f1d51a06e3977241d8a2b1650ea0e4a087bac55d25",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-08-09T14:19:54Z",
    "title_canon_sha256": "692907055f67e2a35675798224f39139670fbbdd5fe8aea8679b3b65698392da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1935",
    "kind": "arxiv",
    "version": 1
  }
}