Pith Number

pith:MN5JNGTV

pith:2015:MN5JNGTV7RJ3P2VR3VVMVGTCSU

not attested not anchored not stored refs pending

Dimension formula for induced maximal faces of separable states and genuine entanglement

Dragomir Z. Djokovic, Lin Chen

arxiv:1501.00745 v2 · 2015-01-05 · 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{MN5JNGTV7RJ3P2VR3VVMVGTCSU}

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	2026-05-18T01:29:54.640088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

637a969a75fc53b7eab1dd6aca9a62950304710d9de7de166254e9dff41d56b7

Aliases

arxiv: 1501.00745 · arxiv_version: 1501.00745v2 · doi: 10.48550/arxiv.1501.00745 · pith_short_12: MN5JNGTV7RJ3 · pith_short_16: MN5JNGTV7RJ3P2VR · pith_short_8: MN5JNGTV

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/MN5JNGTV7RJ3P2VR3VVMVGTCSU \
  | 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: 637a969a75fc53b7eab1dd6aca9a62950304710d9de7de166254e9dff41d56b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "622753bbbf73b660580e600fc2fa842da95e4f764def9cf7bcfec9b3e401de69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-01-05T02:00:24Z",
    "title_canon_sha256": "0012bad82d4a4008314e7a8250a36000c370ae3c620909cb782b2b76db64a364"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00745",
    "kind": "arxiv",
    "version": 2
  }
}