Pith Number

pith:4DA2J265

pith:2013:4DA2J265X445TVPPJ3ZIJIWWDJ

not attested not anchored not stored refs pending

Non-Positive Partial Transpose Subspaces Can be as Large as Any Entangled Subspace

Nathaniel Johnston

arxiv:1305.0257 v2 · 2013-05-01 · 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{4DA2J265X445TVPPJ3ZIJIWWDJ}

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	2026-05-18T03:19:43.731360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0c1a4ebddbf39d9d5ef4ef284a2d61a4c0ebd96edde2e06b009375959681610

Aliases

arxiv: 1305.0257 · arxiv_version: 1305.0257v2 · doi: 10.48550/arxiv.1305.0257 · pith_short_12: 4DA2J265X445 · pith_short_16: 4DA2J265X445TVPP · pith_short_8: 4DA2J265

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/4DA2J265X445TVPPJ3ZIJIWWDJ \
  | 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: e0c1a4ebddbf39d9d5ef4ef284a2d61a4c0ebd96edde2e06b009375959681610

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85ade86019fef732d532a4047cc7445b7fcd91432d9a8268d63484fc7fc7a91d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-05-01T19:53:21Z",
    "title_canon_sha256": "09cf5385b1dadf7f18cc645cfa70fb6b44e60846ad222045085fd20a30a6c9cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0257",
    "kind": "arxiv",
    "version": 2
  }
}