Pith Number

pith:HK5GAS22

pith:2010:HK5GAS22INU2Y4NRD3ULNZWCJZ

not attested not anchored not stored refs pending

Local unitary invariants for multipartite quantum systems

Peter Vrana

arxiv:1007.0163 v1 · 2010-07-01 · 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{HK5GAS22INU2Y4NRD3ULNZWCJZ}

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	2026-05-18T02:06:33.321376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3aba604b5a4369ac71b11ee8b6e6c24e64774633a7fb693a759ff512fa08f040

Aliases

arxiv: 1007.0163 · arxiv_version: 1007.0163v1 · doi: 10.48550/arxiv.1007.0163 · pith_short_12: HK5GAS22INU2 · pith_short_16: HK5GAS22INU2Y4NR · pith_short_8: HK5GAS22

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/HK5GAS22INU2Y4NRD3ULNZWCJZ \
  | 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: 3aba604b5a4369ac71b11ee8b6e6c24e64774633a7fb693a759ff512fa08f040

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c45777bb44b2bed7f7763ccee153f0dc1dca3aaee5068663f98f3a9da6612868",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-07-01T13:44:59Z",
    "title_canon_sha256": "f82801e75d7ec5930e569996fa48ce0e009f1d6e8dee593f9abcddbe1325b8b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0163",
    "kind": "arxiv",
    "version": 1
  }
}