Pith Number

pith:BPSGTJOA

pith:2018:BPSGTJOAVM3XLKVFWUIG7HMOCH

not attested not anchored not stored refs pending

Necessary and sufficient condition of separability for D-symmetric diagonal states

Adam Rutkowski, Marcin Marciniak, Michal Banacki

arxiv:1810.05522 v2 · 2018-10-12 · 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{BPSGTJOAVM3XLKVFWUIG7HMOCH}

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	2026-05-17T23:54:10.774166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0be469a5c0ab3775aaa5b5106f9d8e11c14379f4ab9b317ed9ce8c76fe203c96

Aliases

arxiv: 1810.05522 · arxiv_version: 1810.05522v2 · doi: 10.48550/arxiv.1810.05522 · pith_short_12: BPSGTJOAVM3X · pith_short_16: BPSGTJOAVM3XLKVF · pith_short_8: BPSGTJOA

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/BPSGTJOAVM3XLKVFWUIG7HMOCH \
  | 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: 0be469a5c0ab3775aaa5b5106f9d8e11c14379f4ab9b317ed9ce8c76fe203c96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "187446201438d8c20ca7aa26fdd1c4d27d6a989d62a51015265a385090ad810f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-10-12T13:57:08Z",
    "title_canon_sha256": "6ec53a30ec8fdab682391dea3ae89b76d8066d458ba3a64e5a1f1e3767e5520a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05522",
    "kind": "arxiv",
    "version": 2
  }
}