Pith Number

pith:7WZAM6ZI

pith:2012:7WZAM6ZIIAB3FKZA4WU4UU3G3L

not attested not anchored not stored refs pending

Dimensions, lengths and separability in finite-dimensional quantum systems

Dragomir Z. Djokovic, Lin Chen

arxiv:1206.3775 v4 · 2012-06-17 · quant-ph · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7WZAM6ZIIAB3FKZA4WU4UU3G3L}

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	2026-05-18T03:25:46.519279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdb2067b284003b2ab20e5a9ca5366daf3df72047c5a0408c37c9bd577e4b730

Aliases

arxiv: 1206.3775 · arxiv_version: 1206.3775v4 · doi: 10.48550/arxiv.1206.3775 · pith_short_12: 7WZAM6ZIIAB3 · pith_short_16: 7WZAM6ZIIAB3FKZA · pith_short_8: 7WZAM6ZI

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/7WZAM6ZIIAB3FKZA4WU4UU3G3L \
  | 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: fdb2067b284003b2ab20e5a9ca5366daf3df72047c5a0408c37c9bd577e4b730

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fae9bae41e13a8cac95977a5017ad867c68f77c6b5992134d23abc49d123ad7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-06-17T17:55:54Z",
    "title_canon_sha256": "24379c7728ccd9d38e46eb695844eb8c63fc2093b186dd5876b94e31e75895f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3775",
    "kind": "arxiv",
    "version": 4
  }
}